Prime p₀= 1690187978933618777 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 10 2 4 2 10 2 40 2 (?)
a_n: 0 2 42 44 54 56 60 62 72 74 114 116
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: 116
Found by: Fialaalf
db: batch=79, k=12, 2 40 2 10 2 4

SPT(16)	1690186995368798533	0 24 34 46 70 76 94 96 118 120 138 144 168 180 190 214	-983564820244
STPT(10)	1690187807482187327	0 2 30 32 42 44 54 56 84 86	-171451431450
SPT(16)	1690187848341904333	0 16 30 48 70 94 190 196 198 204 300 324 346 364 378 394	-130591714444
SPT(16)	1690187865804585079	0 22 52 58 70 88 100 102 160 162 174 192 204 210 240 262	-113129033698
SPT(16)	1690187887425269741	0 6 38 60 68 90 116 146 270 300 326 348 356 378 410 416	-91508349036
SPT(16)	1690187901817334831	0 38 60 66 72 80 98 182 186 270 288 296 302 308 330 368	-77116283946
STPT(10)	1690188096928719959	0 2 18 20 30 32 42 44 60 62	117995101182
SPT(16)	1690188257455339351	0 22 28 42 58 78 100 118 120 138 160 180 196 210 216 238	278521720574
SPT(16)	1690188279003270373	0 28 66 78 96 118 144 204 220 280 306 328 346 358 396 424	300069651596
STPT(10)	1690188291173570717	0 2 12 14 42 44 72 74 84 86	312239951940
STPT(10)	1690188962564564219	0 2 18 20 30 32 42 44 60 62	983630945442