Prime p₀= 1971662932818365051 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 106 2 16 2 22 2 16 2 106 2 (?)
a_n: 0 2 108 110 126 128 150 152 168 170 276 278
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: 278
Found by: Landjunge
db: batch=80, k=12, 2 106 2 16 2 22

SPT(16)	1971661127922424067	0 50 86 150 206 246 272 290 306 324 350 390 446 510 546 596	-1804895940984
STPT(12)	1971661268211835127	0 2 12 14 54 56 90 92 132 134 144 146	-1664606529924
STPT(10)	1971661490893785917	0 2 30 32 72 74 114 116 144 146	-1441924579134
SPT(16)	1971661908648056857	0 4 16 60 66 70 72 82 114 124 126 130 136 180 192 196	-1024170308194
TPT(14)	1971661915137389771	0 2 6 8 18 20 48 50 90 92 168 170 216 218	-1017680975280
SPT(16)	1971662303180454917	0 14 42 54 74 120 186 216 230 260 326 372 392 404 432 446	-629637910134
STPT(10)	1971662963507379029	0 2 18 20 30 32 42 44 60 62	30689013978
STPT(10)	1971662995746968939	0 2 18 20 30 32 42 44 60 62	62928603888
SPT(18)	1971663035943898511	0 36 60 68 78 102 120 126 188 210 272 278 296 320 330 338 362 398	103125533460
SPT(16)	1971663409312795337	0 6 60 86 116 126 132 156 170 194 200 210 240 266 320 326	476494430286
STPT(10)	1971663423298684931	0 2 6 8 48 50 90 92 96 98	490480319880