Prime p₀= 1907041879420451951 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 4 2 82 2 64 2 82 2 4 2 (?)
a_n: 0 2 6 8 90 92 156 158 240 242 246 248
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: 248
Found by: Landjunge
db: batch=80, k=12, 2 4 2 82 2 64

SPT(16)	1907040982416989381	0 2 20 26 56 102 120 198 200 278 296 342 372 378 396 398	-897003462570
SPT(16)	1907041247242416071	0 48 56 68 80 96 128 132 146 150 182 198 210 222 230 278	-632178035880
SPT(16)	1907041380022866751	0 10 58 70 72 88 108 130 138 160 180 196 198 210 258 268	-499397585200
SPT(16)	1907041737770927179	0 22 90 100 112 120 148 174 268 294 322 330 342 352 420 442	-141649524772
TPT(14)	1907041816792841291	0 2 96 98 246 248 276 278 288 290 456 458 498 500	-62627610660
SPT(18)	1907041871512416283	0 58 60 94 124 150 184 210 220 228 238 264 298 324 354 388 390 448	-7908035668
STPT(10)	1907041960334044901	0 2 6 8 48 50 90 92 96 98	80913592950
TPT(16)	1907042044296165011	0 2 30 32 156 158 186 188 198 200 300 302 306 308 336 338	164875713060
STPT(10)	1907042349129527507	0 2 42 44 72 74 102 104 144 146	469709075556
SPT(16)	1907042446721306887	0 10 16 40 46 54 114 136 144 166 226 234 240 264 270 280	567300854936
TPT(14)	1907042549986524737	0 2 24 26 42 44 90 92 132 134 180 182 210 212	670566072786