Prime p₀= 786205773990276119 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: GLeeM
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	786204179892458011	0 12 42 46 66 70 112 132 136 156 198 202 222 226 256 268	-1594097818108
STPT(10)	786204481789019729	0 2 42 44 60 62 78 80 120 122	-1292201256390
STPT(10)	786204662939222237	0 2 42 44 72 74 102 104 144 146	-1111051053882
SPT(16)	786205118408934223	0 24 46 126 220 238 258 336 388 466 486 504 598 678 700 724	-655581341896
SPT(18)	786205143825087913	0 6 10 28 114 148 174 196 226 258 288 310 336 370 456 474 478 484	-630165188206
TPT(14)	786205404633066281	0 2 6 8 48 50 78 80 138 140 216 218 276 278	-369357209838
STPT(10)	786205836797139917	0 2 54 56 72 74 90 92 144 146	62806863798
SPT(18)	786206366143769027	0 30 44 56 80 92 132 140 146 150 156 164 204 216 240 252 266 296	592153492908
SPT(16)	786207087509560183	0 4 54 60 88 186 220 234 280 294 328 426 454 460 510 514	1313519284064
STPT(10)	786207186223021877	0 2 30 32 42 44 54 56 84 86	1412232745758
SPT(16)	786207228830615297	0 60 66 90 170 200 252 254 312 314 366 396 476 500 506 566	1454840339178