Prime p₀= 2034731972786573309 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 136 2 40 2 106 2 82 2 16 2 (?)
a_n: 0 2 60 62 198 200 240 242 348 350 432 434 450 452
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: 452
Found by: [SG-2W]Kurzer
db: batch=80, k=14, 58 136 40 106 82 16

STPT(10)	2034730461874713059	0 2 78 80 120 122 162 164 240 242	-1510911860250
STPT(10)	2034730774851471647	0 2 30 32 42 44 54 56 84 86	-1197935101662
TPT(14)	2034731281773283109	0 2 120 122 162 164 198 200 258 260 282 284 288 290	-691013290200
SPT(16)	2034731679943077043	0 4 24 40 88 90 108 130 168 190 208 210 258 274 294 298	-292843496266
SPT(16)	2034731898654948191	0 26 30 48 86 98 152 156 182 186 240 252 290 308 312 338	-74131625118
TPT(14)	2034731903235502397	0 2 12 14 24 26 54 56 90 92 120 122 252 254	-69551070912
STPT(10)	2034732330648969977	0 2 54 56 132 134 210 212 264 266	357862396668
SPT(16)	2034732880942787521	0 30 42 58 66 72 100 108 160 168 196 202 210 226 238 268	908156214212
STPT(10)	2034733529599520777	0 2 30 32 42 44 54 56 84 86	1556812947468
SPT(16)	2034734111205876019	0 10 30 52 90 112 154 168 184 198 240 262 300 322 342 352	2138419302710
SPT(16)	2034734619339160033	0 10 16 78 88 124 126 138 196 208 210 246 256 318 324 334	2646552586724