Prime p₀= 2140241059798584437 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 40 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 102 104 132 134 162 164
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: 164
Found by: suriv
db: batch=80, k=12, 2 28 2 28 2 40

SPT(18)	2140238960460961099	0 12 60 70 78 102 132 138 150 190 202 208 238 262 270 280 328 340	-2099337623338
STPT(12)	2140239524194795409	0 2 12 14 72 74 78 80 138 140 150 152	-1535603789028
SPT(16)	2140239708460804177	0 16 22 24 30 40 64 82 234 252 276 286 292 294 300 316	-1351337780260
STPT(10)	2140239748427014601	0 2 6 8 48 50 90 92 96 98	-1311371569836
STPT(10)	2140240560752709521	0 2 66 68 138 140 210 212 276 278	-499045874916
SPT(16)	2140240762921904339	0 60 78 90 98 152 158 180 182 204 210 264 272 284 302 362	-296876680098
SPT(16)	2140241220610790683	0 136 144 156 168 190 196 210 214 228 234 256 268 280 288 424	160812206246
STPT(10)	2140241388774002159	0 2 48 50 60 62 72 74 120 122	328975417722
SPT(16)	2140241449645214249	0 54 90 122 144 152 174 224 228 278 300 308 330 362 398 452	389846629812
TPT(14)	2140241755529687189	0 2 30 32 78 80 210 212 240 242 252 254 312 314	695731102752
STPT(10)	2140241863780938647	0 2 30 32 72 74 114 116 144 146	803982354210