Prime p₀= 1144391546701596671 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 16 2 46 2 40 2 40 2 16 2 (?)
a_n: 0 2 60 62 78 80 126 128 168 170 210 212 228 230
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: 230
Found by: Alnitak2019
db: batch=76, k=14, 58 16 46 40 40 16

SPT(16)	1144390253291417413	0 28 58 66 84 94 100 106 228 234 240 250 268 276 306 334	-1293410179258
STPT(10)	1144390460411518217	0 2 60 62 72 74 84 86 144 146	-1086290078454
STPT(10)	1144390528553651051	0 2 30 32 78 80 126 128 156 158	-1018147945620
SPT(16)	1144390633752055927	0 30 40 42 52 70 90 102 124 136 156 174 184 186 196 226	-912949540744
SPT(16)	1144391205770497813	0 58 78 100 108 150 168 198 316 346 364 406 414 436 456 514	-340931098858
SPT(18)	1144391434265537347	0 10 16 22 60 84 102 114 126 130 142 154 172 196 234 240 246 256	-112436059324
STPT(10)	1144391629099488797	0 2 24 26 42 44 60 62 84 86	82397892126
STPT(10)	1144391700666831059	0 2 42 44 60 62 78 80 120 122	153965234388
STPT(10)	1144391734104652877	0 2 30 32 42 44 54 56 84 86	187403056206
SPT(16)	1144391982175431419	0 72 122 128 138 180 188 192 278 282 290 332 342 348 398 470	435473834748
STPT(10)	1144392129521575349	0 2 18 20 30 32 42 44 60 62	582819978678