Prime p₀= 1233242077647255583 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 64 6 60 36 24 44 4 8 4 44 24 36 60 6 64 (?)
a_n: 0 64 70 130 166 190 234 238 246 250 294 318 354 414 420 484
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 484
Found by: mike
db: batch=77, k=16, 64 6 60 36 24 44 4 8

SPT(13)	1233239722111482623	0 18 30 66 108 156 168 180 228 270 306 318 336	-2355535772960
SPT(16)	1233239790789955703	0 14 24 66 98 104 140 164 240 264 300 306 338 380 390 404	-2286857299880
TPT(14)	1233240182132503847	0 2 24 26 30 32 54 56 222 224 324 326 330 332	-1895514751736
SPT(18)	1233241352808871169	0 2 12 74 98 108 140 150 162 200 212 222 254 264 288 350 360 362	-724838384414
SPT(16)	1233241704352826911	0 30 40 42 66 72 96 100 138 142 166 172 196 198 208 238	-373294428672
TPT(14)	1233241843305454847	0 2 12 14 60 62 72 74 102 104 132 134 174 176	-234341800736
SPT(20)	1233242312912487733	0 34 58 64 84 120 136 150 198 256 258 316 364 378 394 430 450 456 480 514	235265232150
SPT(16)	1233242800281133027	0 40 52 60 100 162 172 180 364 372 382 444 484 492 504 544	722633877444
SPT(18)	1233243932179533653	0 44 78 110 140 144 168 210 224 264 278 320 344 348 378 410 444 488	1854532278070
STPT(10)	1233244001219229911	0 2 6 8 18 20 30 32 36 38	1923571974328
TPT(14)	1233244191486095609	0 2 60 62 72 74 78 80 162 164 198 200 228 230	2113838840026