Prime p₀= 2789789679742266347 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 42 2 22 18 68 4 24 6 134 6 24 4 68 18 22 2 42 (?)
a_n: 0 42 44 66 84 152 156 180 186 320 326 350 354 422 440 462 464 506
All 18 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 506
Found by: JayPi
db: batch=82, k=18, 42 2 22 18 68 4 24 6 134

TPT(14)	2789788675309439159	0 2 30 32 108 110 168 170 198 200 222 224 228 230	-1004432827188
SPT(16)	2789788789611525077	0 12 24 96 126 134 180 192 194 206 252 260 290 362 374 386	-890130741270
STPT(12)	2789788806641101961	0 2 36 38 48 50 78 80 90 92 126 128	-873101164386
STPT(10)	2789788811551591061	0 2 36 38 78 80 120 122 156 158	-868190675286
SPT(16)	2789788827792547433	0 6 20 30 48 56 90 140 156 206 240 248 266 276 290 296	-851949718914
SPT(16)	2789789066568892939	0 12 52 78 124 144 154 162 220 228 238 258 304 330 370 382	-613173373408
SPT(16)	2789789742484611397	0 10 16 42 46 60 82 136 216 270 292 306 310 336 342 352	62742345050
SPT(16)	2789790588951912061	0 10 18 28 76 96 150 168 178 196 250 270 318 328 336 346	909209645714
STPT(10)	2789790947639738639	0 2 18 20 60 62 102 104 120 122	1267897472292
STPT(10)	2789791004507653589	0 2 18 20 60 62 102 104 120 122	1324765387242
SPT(16)	2789791181687225347	0 16 36 46 64 100 114 126 130 142 156 192 210 220 240 256	1501944959000