Prime p₀= 1715080360165341971 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 28 2 76 2 28 2 58 2 (?)
a_n: 0 2 60 62 90 92 168 170 198 200 258 260
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 260
Found by: CoolAtchOk
db: batch=79, k=12, 2 58 2 28 2 76

SPT(16)	1715079879499282159	0 10 30 52 54 58 112 118 174 180 234 238 240 262 282 292	-480666059812
STPT(10)	1715079890712702131	0 2 36 38 78 80 120 122 156 158	-469452639840
SPT(16)	1715079923526367043	0 18 60 66 74 86 104 150 164 210 228 240 248 254 296 314	-436638974928
STPT(10)	1715080022546100179	0 2 12 14 30 32 48 50 60 62	-337619241792
SPT(16)	1715080058177544151	0 16 22 52 88 126 130 136 162 168 172 210 246 276 282 298	-301987797820
STPT(10)	1715080141969743707	0 2 54 56 72 74 90 92 144 146	-218195598264
SPT(20)	1715080791300955423	0 4 16 24 46 76 126 186 220 228 286 294 328 388 438 468 490 498 510 514	431135613452
SPT(16)	1715080866745781089	0 34 60 64 112 132 144 210 232 298 310 330 378 382 408 442	506580439118
STPT(10)	1715081375798035547	0 2 30 32 120 122 210 212 240 242	1015632693576
SPT(16)	1715081382063208889	0 2 8 14 30 32 42 44 78 80 90 92 108 114 120 122	1021897866918
SPT(16)	1715081471833114271	0 78 90 98 110 122 132 168 230 266 276 288 300 308 320 398	1111667772300