Prime p₀= 1096290384396956027 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 4 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 30 32 42 44 54 56
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: 56
Found by: stoneageman
db: batch=76, k=12, 2 10 2 10 2 4

STPT(10)	1096288624942119137	0 2 42 44 72 74 102 104 144 146	-1759454836890
SPT(16)	1096289151339660521	0 6 12 36 38 50 78 92 96 110 138 150 152 176 182 188	-1233057295506
SPT(16)	1096289301353982049	0 28 42 48 70 114 124 132 160 168 178 222 244 250 264 292	-1083042973978
SPT(16)	1096289316332576323	0 46 58 144 156 166 168 198 226 256 258 268 280 366 378 424	-1068064379704
SPT(18)	1096289725519945787	0 24 56 80 90 164 186 210 224 252 266 290 312 386 396 420 452 476	-658877010240
SPT(16)	1096290131828824417	0 42 46 66 70 106 136 144 202 210 240 276 280 300 304 346	-252568131610
SPT(16)	1096290653764964501	0 2 6 8 12 60 68 72 116 120 128 176 180 182 186 188	269368008474
STPT(10)	1096290947969773637	0 2 54 56 132 134 210 212 264 266	563572817610
SPT(16)	1096291021370690687	0 66 72 86 110 120 122 132 170 180 182 192 216 230 236 302	636973734660
SPT(16)	1096291033692724537	0 12 24 42 72 90 94 100 174 180 184 202 232 250 262 274	649295768510
STPT(12)	1096291164351942899	0 2 18 20 30 32 60 62 72 74 90 92	779954986872