Prime p₀= 740892680663647079 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 58 2 4 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 78 80 138 140 150 152
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: 152
Found by: Theadalus
db: batch=73, k=12, 2 10 2 58 2 4

SPT(16)	740891842139774951	0 138 162 212 240 246 248 308 330 390 392 398 426 476 500 638	-838523872128
STPT(10)	740891847834624557	0 2 30 32 42 44 54 56 84 86	-832829022522
SPT(16)	740891890990889681	0 32 38 68 80 92 102 120 140 158 168 180 192 222 228 260	-789672757398
SPT(16)	740892071903545091	0 32 50 66 78 176 186 248 270 332 342 440 452 468 486 518	-608760101988
STPT(10)	740892095865490991	0 2 36 38 78 80 120 122 156 158	-584798156088
SPT(16)	740892195865005529	0 64 132 160 184 274 280 300 424 444 450 540 564 592 660 724	-484798641550
STPT(10)	740893210151241221	0 2 6 8 48 50 90 92 96 98	529487594142
SPT(16)	740893265562357283	0 6 24 34 54 78 90 106 138 154 166 190 210 220 238 244	584898710204
STPT(10)	740893681928552849	0 2 48 50 90 92 132 134 180 182	1001264905770
STPT(10)	740893886467064129	0 2 48 50 60 62 72 74 120 122	1205803417050
STPT(10)	740894191157220557	0 2 30 32 120 122 210 212 240 242	1510493573478