Prime p₀= 70782520333560179 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 28 2 52 2 76 2 40 2 (?)
a_n: 0 2 18 20 48 50 102 104 180 182 222 224
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: 224
Found by: emoga
db: batch=67, k=12, 16 28 52 76 40

TPT(12)	70782395758003847	0 2 162 164 222 224 234 236 282 284 294 296	-124575556332
SPT(14)	70782403133883481	0 18 40 46 66 96 118 138 160 190 210 216 238 256	-117199676698
TPT(12)	70782442684195379	0 2 18 20 90 92 132 134 168 170 198 200	-77649364800
SPT(14)	70782471538133659	0 28 52 54 72 90 100 342 352 370 388 390 414 442	-48795426520
SPT(16)	70782495010772161	0 42 136 148 166 220 232 238 330 336 348 402 420 432 526 568	-25322788018
SPT(16)	70782500147305549	0 12 22 28 54 82 88 142 150 204 210 238 264 270 280 292	-20186254630
SPT(14)	70782527725536181	0 22 60 78 100 126 156 232 262 288 310 328 366 388	7391976002
SPT(14)	70782535693388657	0 56 66 80 132 144 146 180 182 194 246 260 270 326	15359828478
SPT(14)	70782542096856979	0 12 22 48 60 72 78 82 88 100 112 138 148 160	21763296800
SPT(14)	70782543940736129	0 8 12 14 38 78 80 192 194 234 258 260 264 272	23607175950
STPT(10)	70782544006379501	0 2 6 8 18 20 30 32 36 38	23672819322