Prime p₀= 1233242312912487733 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 34 24 6 20 36 16 14 48 58 2 58 48 14 16 36 20 6 24 34 (?)
a_n: 0 34 58 64 84 120 136 150 198 256 258 316 364 378 394 430 450 456 480 514
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 514
Found by: mike
db: batch=77, k=20, 34 24 6 20 36 16 14 48 58 2

SPT(16)	1233239790789955703	0 14 24 66 98 104 140 164 240 264 300 306 338 380 390 404	-2522122532030
TPT(14)	1233240182132503847	0 2 24 26 30 32 54 56 222 224 324 326 330 332	-2130779983886
SPT(18)	1233241352808871169	0 2 12 74 98 108 140 150 162 200 212 222 254 264 288 350 360 362	-960103616564
SPT(16)	1233241704352826911	0 30 40 42 66 72 96 100 138 142 166 172 196 198 208 238	-608559660822
TPT(14)	1233241843305454847	0 2 12 14 60 62 72 74 102 104 132 134 174 176	-469607032886
SPT(16)	1233242077647255583	0 64 70 130 166 190 234 238 246 250 294 318 354 414 420 484	-235265232150
SPT(16)	1233242800281133027	0 40 52 60 100 162 172 180 364 372 382 444 484 492 504 544	487368645294
SPT(18)	1233243932179533653	0 44 78 110 140 144 168 210 224 264 278 320 344 348 378 410 444 488	1619267045920
STPT(10)	1233244001219229911	0 2 6 8 18 20 30 32 36 38	1688306742178
TPT(14)	1233244191486095609	0 2 60 62 72 74 78 80 162 164 198 200 228 230	1878573607876
SPT(16)	1233244245262407797	0 2 14 44 56 74 116 122 234 240 282 300 312 342 354 356	1932349920064