Prime p₀= 2712459078768191981 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 70 2 34 2 70 2 16 2 (?)
a_n: 0 2 18 20 90 92 126 128 198 200 216 218
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: 218
Found by: JayPi
db: batch=82, k=12, 2 16 2 70 2 34

SPT(16)	2712458096615430077	0 6 32 120 122 146 272 276 386 390 516 540 542 630 656 662	-982152761904
STPT(10)	2712458097847084859	0 2 18 20 30 32 42 44 60 62	-980921107122
SPT(16)	2712458730801654619	0 22 42 70 78 108 114 120 142 148 154 184 192 220 240 262	-347966537362
STPT(10)	2712458738637652187	0 2 30 32 42 44 54 56 84 86	-340130539794
SPT(16)	2712458854340949073	0 6 10 34 54 66 70 114 136 180 184 196 216 240 244 250	-224427242908
SPT(16)	2712458866202390527	0 60 82 96 150 190 192 214 252 274 276 316 370 384 406 466	-212565801454
SPT(16)	2712459146492182313	0 14 44 114 134 144 156 186 188 218 230 240 260 330 360 374	67723990332
SPT(16)	2712459183412775567	0 14 36 50 56 60 84 114 212 242 266 270 276 290 312 326	104644583586
SPT(16)	2712459619422011339	0 20 48 72 114 122 140 158 264 282 300 308 350 374 402 422	540653819358
SPT(16)	2712459800412521527	0 40 46 70 76 90 106 142 144 180 196 210 216 240 246 286	721644329546
STPT(10)	2712460174529466197	0 2 42 44 72 74 102 104 144 146	1095761274216