Prime p₀= 2726243707255606301 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 16 2 58 2 10 2 70 2 (?)
a_n: 0 2 36 38 78 80 96 98 156 158 168 170 240 242
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: 242
Found by: JayPi
db: batch=82, k=14, 34 40 16 58 10 70

SPT(16)	2726242722523707007	0 34 52 54 96 112 124 132 154 162 174 190 232 234 252 286	-984731899294
STPT(10)	2726242768896837959	0 2 18 20 30 32 42 44 60 62	-938358768342
SPT(16)	2726242874385081097	0 12 30 46 82 142 160 190 222 252 270 330 366 382 400 412	-832870525204
SPT(16)	2726243206524357521	0 30 56 60 66 80 102 158 210 266 288 302 308 312 338 368	-500731248780
STPT(10)	2726243536784647931	0 2 6 8 18 20 30 32 36 38	-170470958370
STPT(10)	2726243556480211457	0 2 30 32 42 44 54 56 84 86	-150775394844
SPT(16)	2726244090749055973	0 46 64 70 88 96 106 160 174 228 238 246 264 270 288 334	383493449672
STPT(10)	2726244185536234967	0 2 90 92 102 104 114 116 204 206	478280628666
SPT(16)	2726244278101841489	0 12 18 42 80 84 110 158 234 282 308 312 350 374 380 392	570846235188
TPT(14)	2726244698440851281	0 2 36 38 66 68 78 80 156 158 168 170 180 182	991185244980
SPT(16)	2726244818338704797	0 14 50 80 92 140 162 212 324 374 396 444 456 486 522 536	1111083098496