Prime p₀= 2690961457411219631 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 16 2 76 2 82 2 28 2 58 2 (?)
a_n: 0 2 60 62 78 80 156 158 240 242 270 272 330 332
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: 332
Found by: Asgard2022
db: batch=82, k=14, 58 16 76 82 28 58

STPT(10)	2690959683997473149	0 2 48 50 60 62 72 74 120 122	-1773413746482
TPT(14)	2690959757116869449	0 2 30 32 72 74 120 122 168 170 180 182 222 224	-1700294350182
SPT(16)	2690959960828303391	0 90 110 156 182 212 278 318 320 360 426 456 482 528 548 638	-1496582916240
STPT(10)	2690960099992291649	0 2 18 20 30 32 42 44 60 62	-1357418927982
STPT(10)	2690960203917363797	0 2 42 44 72 74 102 104 144 146	-1253493855834
SPT(16)	2690961127028223937	0 4 16 30 40 46 82 84 112 114 150 156 166 180 192 196	-330382995694
SPT(16)	2690961486217203959	0 18 42 48 50 90 102 128 132 158 170 210 212 218 242 260	28805984328
SPT(16)	2690961814474193839	0 12 28 34 42 52 90 112 150 172 210 220 228 234 250 262	357062974208
STPT(10)	2690961908018186651	0 2 36 38 78 80 120 122 156 158	450606967020
SPT(16)	2690962012284201361	0 10 16 18 58 88 96 102 136 142 150 180 220 222 228 238	554872981730
SPT(16)	2690962152020870009	0 44 50 72 90 104 140 170 174 204 240 254 272 294 300 344	694609650378