Prime p₀= 1234442498972841311 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 40 2 34 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 96 98 138 140 156 158
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: 158
Found by: X_FISH
db: batch=77, k=12, 2 16 2 40 2 34

TPT(14)	1234440711819398141	0 2 60 62 90 92 126 128 168 170 240 242 246 248	-1787153443170
SPT(16)	1234440744336243991	0 78 100 108 172 178 222 228 232 238 282 288 352 360 382 460	-1754636597320
STPT(10)	1234441367194864427	0 2 30 32 42 44 54 56 84 86	-1131777976884
SPT(18)	1234441525515991189	0 42 82 88 94 150 172 190 234 418 462 480 502 558 564 570 610 652	-973456850122
SPT(13)	1234441612125206489	0 54 60 72 114 144 162 180 210 252 264 270 324	-886847634822
STPT(10)	1234442389218915587	0 2 42 44 72 74 102 104 144 146	-109753925724
STPT(10)	1234442510807479007	0 2 60 62 72 74 84 86 144 146	11834637696
STPT(10)	1234442570604112349	0 2 18 20 30 32 42 44 60 62	71631271038
SPT(16)	1234442616585612853	0 4 16 18 34 60 90 96 118 124 154 180 196 198 210 214	117612771542
SPT(16)	1234443018608358059	0 2 8 12 20 48 72 102 128 158 182 210 218 222 228 230	519635516748
STPT(10)	1234443026752309247	0 2 30 32 42 44 54 56 84 86	527779467936