Prime p₀= 2967267271073642837 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 82 2 64 2 28 2 70 2 40 2 (?)
a_n: 0 2 60 62 144 146 210 212 240 242 312 314 354 356
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: 356
Found by: Asgard2022
db: batch=82, k=14, 58 82 64 28 70 40

STPT(10)	2967265920291899069	0 2 18 20 30 32 42 44 60 62	-1350781743768
STPT(10)	2967266042109322139	0 2 42 44 90 92 138 140 180 182	-1228964320698
STPT(10)	2967266084861358911	0 2 36 38 78 80 120 122 156 158	-1186212283926
SPT(16)	2967266243678173741	0 22 76 78 96 106 118 120 208 210 222 232 250 252 306 328	-1027395469096
TPT(14)	2967267185459736317	0 2 114 116 132 134 222 224 270 272 294 296 300 302	-85613906520
TPT(14)	2967267253389834737	0 2 144 146 180 182 192 194 264 266 270 272 420 422	-17683808100
STPT(10)	2967267308765337839	0 2 48 50 60 62 72 74 120 122	37691695002
SPT(16)	2967267510821311253	0 24 56 66 78 110 114 164 210 260 264 296 308 318 350 374	239747668416
TPT(14)	2967267534121267229	0 2 72 74 138 140 210 212 348 350 450 452 480 482	263047624392
SPT(16)	2967268002317758333	0 60 90 96 126 148 160 166 210 216 228 250 280 286 316 376	731244115496
SPT(16)	2967268192375575019	0 10 18 22 24 60 78 84 88 94 112 148 150 154 162 172	921301932182