Prime p₀= 2700319136017161287 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 46 2 88 2 40 2 16 2 16 2 (?)
a_n: 0 2 54 56 102 104 192 194 234 236 252 254 270 272
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: 272
Found by: JayPi
db: batch=82, k=14, 52 46 88 40 16 16

SPT(16)	2700317992162015013	0 20 24 38 48 60 84 120 188 224 248 260 270 284 288 308	-1143855146274
SPT(16)	2700318025702537411	0 28 30 66 70 142 156 160 198 202 216 288 292 328 330 358	-1110314623876
STPT(10)	2700318195760281791	0 2 30 32 78 80 126 128 156 158	-940256879496
STPT(10)	2700318950877615209	0 2 18 20 30 32 42 44 60 62	-185139546078
STPT(10)	2700319113373143761	0 2 36 38 78 80 120 122 156 158	-22644017526
STPT(10)	2700319133880883811	0 2 6 8 18 20 30 32 36 38	-2136277476
SPT(16)	2700319272193808329	0 10 28 88 100 138 190 240 262 312 364 402 414 474 492 502	136176647042
SPT(16)	2700319339303949579	0 2 30 32 38 60 62 72 98 108 110 132 138 140 168 170	203286788292
SPT(16)	2700319984593680153	0 8 38 60 78 80 90 108 176 194 204 206 224 246 276 284	848576518866
STPT(10)	2700320662978708709	0 2 18 20 30 32 42 44 60 62	1526961547422
SPT(16)	2700320698167545459	0 42 68 84 102 110 114 174 248 308 312 320 338 354 380 422	1562150384172