Prime p₀= 118708906924483691 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 136 2 40 2 46 2 28 2 10 2 (?)
a_n: 0 2 138 140 180 182 228 230 258 260 270 272
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: 272
Found by: amazing
db: batch=67, k=12, 136 40 46 28 10

SPT(22)	118708854669825263	0 20 30 54 60 110 134 204 218 228 236 288 296 306 320 390 414 464 470 494 504 524	-52254658428
SPT(14)	118708858954219097	0 42 72 104 132 152 156 200 204 224 252 284 314 356	-47970264594
SPT(14)	118708878250201601	0 20 62 66 90 92 116 126 150 152 176 180 222 242	-28674282090
STPT(10)	118708879483648547	0 2 30 32 60 62 90 92 120 122	-27440835144
SPT(14)	118708887781540313	0 36 54 60 74 116 134 210 228 270 284 290 308 344	-19142943378
SPT(14)	118708893565224761	0 12 30 60 80 96 122 156 182 198 218 248 266 278	-13359258930
TPT(12)	118708911120428051	0 2 36 38 78 80 90 92 96 98 126 128	4195944360
SPT(16)	118708917439378897	0 10 22 24 36 42 46 64 102 120 124 130 142 144 156 166	10514895206
SPT(14)	118708920631557931	0 10 42 96 100 156 192 250 286 342 346 400 432 442	13707074240
SPT(14)	118708921440568799	0 14 18 20 42 48 104 138 194 200 222 224 228 242	14516085108
SPT(14)	118708928510294081	0 60 72 102 126 150 182 186 218 242 266 296 308 368	21585810390