Prime p₀= 2507832807518148137 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 10 2 184 2 10 2 40 2 (?)
a_n: 0 2 42 44 54 56 240 242 252 254 294 296
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: 296
Found by: JayPi
db: batch=82, k=12, 2 40 2 10 2 184

SPT(16)	2507830850426570303	0 8 26 56 84 108 120 140 144 164 176 200 228 258 276 284	-1957091577834
SPT(16)	2507831302116249959	0 54 72 92 98 110 128 134 168 174 192 204 210 230 248 302	-1505401898178
STPT(10)	2507831433688140797	0 2 12 14 42 44 72 74 84 86	-1373830007340
SPT(16)	2507831515637507971	0 6 52 72 132 162 192 196 282 286 316 346 406 426 472 478	-1291880640166
SPT(16)	2507832253169096597	0 24 86 104 122 146 174 252 254 332 360 384 402 420 482 506	-554349051540
SPT(16)	2507832560065303633	0 4 16 64 66 148 154 156 178 180 186 268 270 318 330 334	-247452844504
SPT(16)	2507833259786292457	0 22 34 52 60 70 82 84 130 132 144 154 162 180 192 214	452268144320
SPT(16)	2507833447786796573	0 30 54 90 108 110 168 170 234 236 294 296 314 350 374 404	640268648436
STPT(10)	2507833904172346439	0 2 18 20 30 32 42 44 60 62	1096654198302
SPT(16)	2507834038494004007	0 2 20 30 32 60 104 156 170 222 266 294 296 306 324 326	1230975855870
SPT(16)	2507834337199797583	0 6 18 46 66 76 90 94 120 124 138 148 168 196 208 214	1529681649446