Prime p₀= 2147925190080300887 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 22 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 84 86 102 104 144 146
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: 146
Found by: Landjunge
db: batch=80, k=12, 2 40 2 16 2 22

SPT(16)	2147923523622168599	0 42 48 68 98 102 110 140 192 222 230 234 264 284 290 332	-1666458132288
STPT(10)	2147923680167270849	0 2 18 20 30 32 42 44 60 62	-1509913030038
SPT(16)	2147923694568466181	0 2 12 26 68 78 80 86 162 168 170 180 222 236 246 248	-1495511834706
SPT(16)	2147924109129771097	0 46 72 76 100 114 126 202 264 340 352 366 390 394 420 466	-1080950529790
STPT(10)	2147924445541696751	0 2 150 152 180 182 210 212 360 362	-744538604136
SPT(16)	2147924494215778877	0 42 102 120 146 156 162 170 216 224 230 240 266 284 344 386	-695864522010
SPT(16)	2147925212319193649	0 18 38 72 80 90 102 104 108 110 122 132 140 174 194 212	22238892762
STPT(10)	2147925486638811989	0 2 48 50 90 92 132 134 180 182	296558511102
STPT(10)	2147925616274455349	0 2 48 50 90 92 132 134 180 182	426194154462
SPT(16)	2147925713721378919	0 12 40 82 150 172 220 264 298 342 390 412 480 522 550 562	523641078032
STPT(10)	2147925961014824699	0 2 42 44 60 62 78 80 120 122	770934523812