Prime p₀= 2703504613283964731 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 46 2 28 2 118 2 10 2 4 2 (?)
a_n: 0 2 90 92 138 140 168 170 288 290 300 302 306 308
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: 308
Found by: JayPi
db: batch=82, k=14, 88 46 28 118 10 4

TPT(14)	2703503239645688507	0 2 60 62 102 104 144 146 240 242 282 284 294 296	-1373638276224
STPT(10)	2703503633481330707	0 2 30 32 42 44 54 56 84 86	-979802634024
STPT(10)	2703503795449665707	0 2 30 32 72 74 114 116 144 146	-817834299024
SPT(16)	2703503942948293253	0 44 60 74 90 110 174 230 234 290 354 374 390 404 420 464	-670335671478
STPT(10)	2703504120046040537	0 2 30 32 72 74 114 116 144 146	-493237924194
SPT(16)	2703504369034201753	0 10 34 40 108 124 138 166 168 196 210 226 294 300 324 334	-244249762978
SPT(16)	2703504770316512909	0 8 24 50 62 74 80 108 134 162 168 180 192 218 234 242	157032548178
SPT(16)	2703505118911116199	0 52 60 88 102 130 168 190 192 214 252 280 294 322 330 382	505627151468
STPT(10)	2703505331886884339	0 2 12 14 90 92 168 170 180 182	718602919608
STPT(12)	2703505636393492727	0 2 12 14 24 26 30 32 42 44 54 56	1023109527996
SPT(16)	2703505956586511939	0 30 38 48 114 150 188 198 224 234 272 308 374 384 392 422	1343302547208