Prime p₀= 2279098518422364929 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 16 2 22 2 28 2 46 2 40 2 (?)
a_n: 0 2 90 92 108 110 132 134 162 164 210 212 252 254
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=81, k=14, 88 16 22 28 46 40

TPT(16)	2279097389161242269	0 2 12 14 48 50 102 104 138 140 198 200 228 230 270 272	-1129261122660
SPT(16)	2279097406172153207	0 2 20 26 50 86 102 116 240 254 270 306 330 336 354 356	-1112250211722
SPT(16)	2279097866445664513	0 34 36 46 64 78 126 130 144 148 196 210 228 238 240 274	-651976700416
STPT(10)	2279098039665306911	0 2 6 8 18 20 30 32 36 38	-478757058018
STPT(10)	2279098052523036761	0 2 30 32 78 80 126 128 156 158	-465899328168
SPT(16)	2279098458906472271	0 6 18 32 66 68 90 98 150 158 180 182 216 230 242 248	-59515892658
TPT(14)	2279098662926431811	0 2 48 50 78 80 150 152 180 182 246 248 258 260	144504066882
SPT(16)	2279099771659269883	0 16 48 58 90 100 108 136 210 238 246 256 288 298 330 346	1253236904954
TPT(14)	2279099821258815209	0 2 30 32 72 74 228 230 252 254 270 272 282 284	1302836450280
SPT(16)	2279099965399426303	0 10 16 36 66 70 120 124 180 184 234 238 268 288 294 304	1446977061374
SPT(16)	2279100375515819197	0 16 24 52 60 84 90 136 150 196 202 226 234 262 270 286	1857093454268