Prime p₀= 2701116096631557881 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 82 2 118 2 64 2 22 2 4 2 (?)
a_n: 0 2 6 8 90 92 210 212 276 278 300 302 306 308
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: biodoc
db: batch=82, k=14, 4 82 118 64 22 4

SPT(16)	2701115447196821297	0 2 12 60 80 84 104 144 152 192 212 216 236 284 294 296	-649434736584
SPT(16)	2701115557163756617	0 10 22 30 52 66 106 112 120 126 166 180 202 210 222 232	-539467801264
SPT(16)	2701115700953444429	0 18 62 78 98 110 120 132 140 152 162 174 194 210 254 272	-395678113452
SPT(16)	2701115702367602483	0 8 14 18 54 74 90 140 228 278 294 314 350 354 360 368	-394263955398
SPT(16)	2701115801041121603	0 18 38 44 54 60 80 98 156 174 194 200 210 216 236 254	-295590436278
SPT(16)	2701116094394288929	0 4 24 28 64 88 154 168 190 204 270 294 330 334 354 358	-2237268952
TPT(14)	2701116153918795971	0 2 78 80 150 152 156 158 198 200 246 248 288 290	57287238090
STPT(10)	2701116300855427991	0 2 6 8 48 50 90 92 96 98	204223870110
TPT(14)	2701116484769273897	0 2 60 62 132 134 144 146 174 176 252 254 300 302	388137716016
SPT(16)	2701116512360714969	0 2 20 72 108 134 198 234 278 314 378 404 440 492 510 512	415729157088
STPT(10)	2701116704873710769	0 2 48 50 60 62 72 74 120 122	608242152888