Prime p₀= 726793048194073769 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 16 2 148 2 40 2 94 2 (?)
a_n: 0 2 18 20 42 44 60 62 210 212 252 254 348 350
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 350
Found by: arkiss
db: batch=73, k=14, 16 22 16 148 40 94

STPT(10)	726792497478702269	0 2 18 20 30 32 42 44 60 62	-550715371500
SPT(16)	726792570038402167	0 24 84 124 144 150 160 166 180 186 196 202 222 262 322 346	-478155671602
SPT(16)	726792589619429863	0 76 118 144 204 210 228 270 304 346 364 370 430 456 498 574	-458574643906
STPT(10)	726792881731224071	0 2 30 32 78 80 126 128 156 158	-166462849698
STPT(10)	726792941477833187	0 2 12 14 42 44 72 74 84 86	-106716240582
STPT(10)	726793047587309957	0 2 90 92 102 104 114 116 204 206	-606763812
STPT(10)	726793075199784347	0 2 30 32 42 44 54 56 84 86	27005710578
SPT(16)	726793280152428521	0 6 30 36 42 92 128 152 156 180 216 266 272 278 302 308	231958354752
SPT(16)	726793322941755739	0 4 42 94 112 132 160 178 204 222 250 270 288 340 378 382	274747681970
SPT(16)	726793336397198443	0 10 90 118 154 156 196 256 258 318 358 360 396 424 504 514	288203124674
SPT(16)	726793347579580991	0 12 42 50 92 150 152 156 176 180 182 240 282 290 320 332	299385507222