Prime p₀= 2050797596522134391 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 64 2 82 2 4 2 82 2 64 2 (?)
a_n: 0 2 66 68 150 152 156 158 240 242 306 308
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: 308
Found by: Dingo
db: batch=80, k=12, 2 64 2 82 2 4

STPT(10)	2050795666529888459	0 2 18 20 30 32 42 44 60 62	-1929992245932
SPT(16)	2050795802205290947	0 22 70 76 120 132 154 192 214 252 274 286 330 336 384 406	-1794316843444
STPT(10)	2050795960069298339	0 2 18 20 30 32 42 44 60 62	-1636452836052
SPT(16)	2050796106266685293	0 6 8 20 50 60 98 120 146 168 206 216 246 258 260 266	-1490255449098
TPT(14)	2050796603004060671	0 2 6 8 60 62 126 128 138 140 156 158 210 212	-993518073720
SPT(16)	2050796988686496937	0 6 34 42 46 52 76 84 112 120 144 150 154 162 190 196	-607835637454
SPT(16)	2050797869744591131	0 22 28 48 66 132 150 160 168 178 196 262 280 300 306 328	273222456740
STPT(10)	2050798263899502881	0 2 30 32 78 80 126 128 156 158	667377368490
SPT(16)	2050798373194875107	0 14 24 86 140 152 156 194 282 320 324 336 390 452 462 476	776672740716
STPT(10)	2050798401755260151	0 2 36 38 78 80 120 122 156 158	805233125760
STPT(10)	2050798559151076739	0 2 42 44 90 92 138 140 180 182	962628942348