Prime p₀= 796258990241138069 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 4 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 48 50 72 74 90 92
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: 92
Found by: declis
db: batch=73, k=12, 2 16 2 22 2 4

SPT(16)	796258360711360483	0 4 28 88 94 96 100 126 238 264 268 270 276 336 360 364	-629529777586
STPT(10)	796258581763758389	0 2 48 50 90 92 132 134 180 182	-408477379680
STPT(10)	796258656266496749	0 2 18 20 30 32 42 44 60 62	-333974641320
SPT(16)	796258734663943451	0 36 38 66 120 150 162 182 186 206 218 248 302 330 332 368	-255577194618
STPT(10)	796258862065751177	0 2 30 32 60 62 90 92 120 122	-128175386892
SPT(16)	796258930229244073	0 18 28 48 76 100 120 138 148 166 186 210 238 258 268 286	-60011893996
STPT(10)	796259295873430559	0 2 30 32 120 122 210 212 240 242	305632292490
TPT(14)	796259304402041729	0 2 12 14 18 20 42 44 60 62 132 134 138 140	314160903660
STPT(10)	796259831818457351	0 2 36 38 78 80 120 122 156 158	841577319282
STPT(10)	796260013779741557	0 2 12 14 72 74 132 134 144 146	1023538603488
TPT(14)	796260341117606399	0 2 12 14 72 74 150 152 210 212 240 242 282 284	1350876468330