Prime p₀= 2602202276479303889 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 34 2 70 2 46 2 10 2 10 2 (?)
a_n: 0 2 72 74 108 110 180 182 228 230 240 242 252 254
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: 254
Found by: JayPi
db: batch=82, k=14, 70 34 70 46 10 10

SPT(16)	2602200736167563681	0 2 8 30 36 86 132 138 170 176 222 272 278 300 306 308	-1540311740208
STPT(10)	2602200832451723117	0 2 24 26 42 44 60 62 84 86	-1444027580772
TPT(14)	2602201098687523451	0 2 18 20 60 62 138 140 150 152 180 182 186 188	-1177791780438
SPT(16)	2602201622191870357	0 36 64 84 96 112 124 154 192 222 234 250 262 282 310 346	-654287433532
STPT(10)	2602201675279531067	0 2 30 32 42 44 54 56 84 86	-601199772822
STPT(10)	2602201762753317467	0 2 30 32 42 44 54 56 84 86	-513725986422
SPT(16)	2602202369090419591	0 18 42 46 52 70 72 118 150 196 198 216 222 226 250 268	92611115702
SPT(16)	2602202414824285519	0 22 24 42 60 72 114 162 220 268 310 322 340 358 360 382	138344981630
STPT(10)	2602202476584244319	0 2 30 32 60 62 90 92 120 122	200104940430
SPT(16)	2602202529043520131	0 10 18 28 42 72 102 130 150 178 208 238 252 262 270 280	252564216242
SPT(16)	2602202593733201897	0 14 42 44 60 72 86 144 152 210 224 236 252 254 282 296	317253898008