Prime p₀= 441413836139464061 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 34 2 28 2 28 2 22 2 (?)
a_n: 0 2 30 32 66 68 96 98 126 128 150 152
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: 152
Found by: arkiss
db: batch=70, k=12, 28 34 28 28 22

SPT(14)	441413789083478663	0 30 44 48 74 78 84 134 140 144 170 174 188 218	-47055985398
SPT(14)	441413806115955229	0 60 78 130 138 238 240 280 282 382 390 442 460 520	-30023508832
SPT(14)	441413807288430667	0 12 22 54 120 126 144 172 190 196 262 294 304 316	-28851033394
SPT(14)	441413816297203523	0 20 44 68 138 140 146 168 174 176 246 270 294 314	-19842260538
SPT(14)	441413827440325843	0 36 48 64 124 148 166 168 186 210 270 286 298 334	-8699138218
SPT(14)	441413830065979831	0 12 40 58 88 90 126 172 208 210 240 258 286 298	-6073484230
SPT(14)	441413847074383187	0 14 50 54 92 96 116 120 140 144 182 186 222 236	10934919126
SPT(16)	441413850621733609	0 34 60 72 100 118 142 162 250 270 294 312 340 352 378 412	14482269548
SPT(14)	441413852763210121	0 16 22 28 42 196 240 298 342 496 510 516 522 538	16623746060
TPT(12)	441413860204866851	0 2 96 98 108 110 150 152 156 158 168 170	24065402790
SPT(14)	441413876140173539	0 18 50 54 78 84 170 192 278 284 308 312 344 362	40000709478