Prime p₀= 2268516864877789571 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 34 2 10 2 28 2 10 2 34 2 (?)
a_n: 0 2 36 38 48 50 78 80 90 92 126 128
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: 128
Found by: JayPi
db: batch=81, k=12, 2 34 2 10 2 28

SPT(16)	2268514362095157833	0 44 60 126 150 170 186 230 294 338 354 374 398 464 480 524	-2502782631738
STPT(10)	2268514710608507657	0 2 90 92 102 104 114 116 204 206	-2154269281914
STPT(10)	2268515340639762629	0 2 18 20 30 32 42 44 60 62	-1524238026942
STPT(10)	2268515592956339849	0 2 132 134 150 152 168 170 300 302	-1271921449722
SPT(16)	2268516454682716037	0 2 50 56 60 72 176 182 204 210 314 326 330 336 384 386	-410195073534
SPT(16)	2268516840597501113	0 36 44 104 116 140 156 170 300 314 330 354 366 426 434 470	-24280288458
SPT(16)	2268516883565241383	0 6 26 44 84 110 120 156 158 194 204 230 270 288 308 314	18687451812
STPT(10)	2268517067479871567	0 2 60 62 72 74 84 86 144 146	202602081996
TPT(14)	2268517500032472569	0 2 18 20 60 62 138 140 168 170 192 194 240 242	635154682998
STPT(10)	2268517595499671651	0 2 36 38 78 80 120 122 156 158	730621882080
SPT(16)	2268517632191774921	0 42 60 68 80 90 96 110 138 152 158 168 180 188 206 248	767313985350