Prime p₀= 3091604879794362317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: suriv
db: batch=83, k=10, 2 10 2 28 2

STPT(10)	3091603592694716051	0 2 78 80 138 140 198 200 276 278	-1287099646266
SPT(16)	3091603624434637343	0 20 36 50 56 78 104 108 146 150 176 198 204 218 234 254	-1255359724974
SPT(16)	3091603796692529999	0 20 44 90 114 150 174 180 242 248 272 308 332 378 402 422	-1083101832318
STPT(10)	3091603843858169597	0 2 24 26 42 44 60 62 84 86	-1035936192720
SPT(16)	3091603968931295491	0 10 42 76 78 102 186 192 196 202 286 310 312 346 378 388	-910863066826
STPT(10)	3091604170485486737	0 2 54 56 72 74 90 92 144 146	-709308875580
SPT(16)	3091604958718229903	0 36 48 56 60 78 108 126 140 158 188 206 210 218 230 266	78923867586
SPT(16)	3091605288654771799	0 18 70 94 154 180 210 232 270 292 322 348 408 432 484 502	408860409482
STPT(12)	3091605826304214977	0 2 30 32 42 44 90 92 102 104 132 134	946509852660
STPT(10)	3091605983727947591	0 2 6 8 48 50 90 92 96 98	1103933585274
SPT(16)	3091606071506594179	0 4 18 40 52 72 114 130 222 238 280 300 312 334 348 352	1191712231862