Prime p₀= 2153250688620256229 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 46 2 40 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 132 134 180 182 222 224
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: 224
Found by: Landjunge
db: batch=81, k=12, 2 40 2 46 2 40

SPT(16)	2153249665194655541	0 12 56 90 96 140 152 210 218 276 288 332 338 372 416 428	-1023425600688
STPT(10)	2153249670904948709	0 2 42 44 60 62 78 80 120 122	-1017715307520
TPT(14)	2153249814178437629	0 2 48 50 72 74 180 182 282 284 480 482 510 512	-874441818600
STPT(10)	2153250129574696091	0 2 36 38 78 80 120 122 156 158	-559045560138
SPT(16)	2153250324341972309	0 2 12 68 90 158 180 188 234 242 264 332 354 410 420 422	-364278283920
STPT(10)	2153250621506471489	0 2 30 32 60 62 90 92 120 122	-67113784740
STPT(10)	2153250782601046097	0 2 12 14 72 74 132 134 144 146	93980789868
SPT(16)	2153250940785497191	0 28 30 36 48 60 70 88 228 246 256 268 280 286 288 316	252165240962
STPT(10)	2153251594320849947	0 2 12 14 42 44 72 74 84 86	905700593718
STPT(10)	2153251715605599611	0 2 30 32 60 62 90 92 120 122	1026985343382
STPT(10)	2153252127007909979	0 2 18 20 30 32 42 44 60 62	1438387653750