Prime p₀= 2315710504345133591 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 10 2 76 2 10 2 76 2 (?)
a_n: 0 2 78 80 90 92 168 170 180 182 258 260
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: Drago75
db: batch=81, k=12, 2 76 2 10 2 76

SPT(16)	2315708212967832367	0 12 34 46 54 90 100 126 130 156 166 202 210 222 244 256	-2291377301224
STPT(10)	2315708544349929107	0 2 30 32 42 44 54 56 84 86	-1959995204484
SPT(16)	2315709021695889137	0 42 80 86 110 164 182 206 240 264 282 336 360 366 404 446	-1482649244454
SPT(18)	2315709335617571513	0 60 104 110 140 158 170 180 198 200 218 228 240 258 288 294 338 398	-1168727562078
STPT(10)	2315709566215415327	0 2 42 44 72 74 102 104 144 146	-938129718264
SPT(16)	2315710028580886807	0 16 30 52 64 84 94 102 154 162 172 192 204 226 240 256	-475764246784
TPT(14)	2315710527876680057	0 2 54 56 90 92 102 104 144 146 210 212 270 272	23531546466
SPT(16)	2315710539737984219	0 84 122 132 150 164 168 188 204 224 228 242 260 270 308 392	35392850628
TPT(14)	2315710540171620959	0 2 78 80 168 170 180 182 318 320 330 332 378 380	35826487368
STPT(10)	2315710607648041067	0 2 60 62 102 104 144 146 204 206	103302907476
SPT(16)	2315711050262211023	0 50 66 86 90 116 156 168 206 218 258 284 288 308 324 374	545917077432