Prime p₀= 2015974198280601569 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 88 2 16 2 40 2 16 2 88 2 (?)
a_n: 0 2 90 92 108 110 150 152 168 170 258 260
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: 260
Found by: Landjunge
db: batch=80, k=12, 2 88 2 16 2 40

SPT(16)	2015973293219169161	0 42 50 56 66 78 96 120 128 152 170 182 192 198 206 248	-905061432408
SPT(16)	2015973650025142519	0 10 24 34 60 90 204 210 214 220 334 364 390 400 414 424	-548255459050
STPT(10)	2015973739953343349	0 2 12 14 90 92 168 170 180 182	-458327258220
SPT(16)	2015973840021275447	0 20 32 42 62 144 174 180 224 230 260 342 362 372 384 404	-358259326122
SPT(16)	2015973847855140601	0 18 52 70 130 138 150 172 186 208 220 228 288 306 340 358	-350425460968
SPT(16)	2015973875280616547	0 14 20 24 72 74 132 150 164 182 240 242 290 294 300 314	-322999985022
STPT(10)	2015974621557940859	0 2 12 14 30 32 48 50 60 62	423277339290
SPT(16)	2015974666065416059	0 12 28 34 54 64 72 84 148 160 168 178 198 204 220 232	467784814490
SPT(16)	2015974755831160027	0 16 24 54 66 154 156 172 204 220 222 310 322 352 360 376	557550558458
SPT(16)	2015974803649013531	0 18 20 32 98 102 120 132 176 188 206 210 276 288 290 308	605368411962
SPT(13)	2015974927325699071	0 6 36 90 186 210 216 222 246 342 396 426 432	729045097502