Prime p₀= 2701935023636107757 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 58 2 136 2 10 2 4 2 (?)
a_n: 0 2 12 14 24 26 84 86 222 224 234 236 240 242
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, 10 10 58 136 10 4

SPT(16)	2701934003193753533	0 44 66 134 156 164 170 186 188 204 210 218 240 308 330 374	-1020442354224
STPT(10)	2701934212355251187	0 2 30 32 42 44 54 56 84 86	-811280856570
SPT(16)	2701934533517605027	0 4 36 42 52 94 96 124 192 220 222 264 274 280 312 316	-490118502730
SPT(16)	2701934552628274363	0 10 36 60 100 114 138 156 178 196 220 234 274 298 324 334	-471007833394
SPT(16)	2701934700555828527	0 14 32 44 62 110 132 144 152 164 186 234 252 264 282 296	-323080279230
STPT(10)	2701934790147520787	0 2 30 32 72 74 114 116 144 146	-233488586970
SPT(18)	2701935037591290827	0 36 44 56 96 104 134 174 176 264 266 306 336 344 384 396 404 440	13955183070
SPT(16)	2701935209792935063	0 16 54 70 84 96 124 138 166 180 208 220 234 250 288 304	186156827306
SPT(16)	2701935262940242663	0 24 28 64 88 96 126 144 280 298 328 336 360 396 400 424	239304134906
SPT(16)	2701935407416509301	0 16 52 60 88 102 156 186 202 232 286 300 328 336 372 388	383780401544
STPT(10)	2701936329069728627	0 2 30 32 60 62 90 92 120 122	1305433620870