Prime p₀= 754008821245511729 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 16 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 60 62 72 74 102 104
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: 104
Found by: gemini8
db: batch=73, k=12, 2 28 2 10 2 16

SPT(16)	754007752935823657	0 12 52 64 66 82 94 112 174 192 204 220 222 234 274 286	-1068309688072
SPT(16)	754007822095697431	0 48 52 108 142 168 268 282 286 300 400 426 460 516 520 568	-999149814298
SPT(16)	754008315246857381	0 6 12 18 36 68 96 126 152 182 210 242 260 266 272 278	-505998654348
STPT(10)	754008484499903777	0 2 42 44 72 74 102 104 144 146	-336745607952
STPT(10)	754008553789236917	0 2 42 44 132 134 222 224 264 266	-267456274812
STPT(10)	754008711878148227	0 2 54 56 72 74 90 92 144 146	-109367363502
STPT(10)	754009518886740089	0 2 78 80 120 122 162 164 240 242	697641228360
STPT(10)	754009668595833899	0 2 18 20 30 32 42 44 60 62	847350322170
SPT(16)	754010489127921847	0 6 42 94 100 120 150 216 220 286 316 336 342 394 430 436	1667882410118
SPT(16)	754010512502742529	0 42 60 84 94 112 144 160 234 250 282 300 310 334 352 394	1691257230800
TPT(14)	754010596553877599	0 2 30 32 60 62 72 74 180 182 222 224 252 254	1775308365870