Prime p₀= 2338518736209557477 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 10 2 10 2 46 2 88 2 16 2 (?)
a_n: 0 2 90 92 102 104 114 116 162 164 252 254 270 272
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: sabres1616
db: batch=81, k=14, 88 10 10 46 88 16

SPT(16)	2338516819354270213	0 16 40 70 106 120 148 178 198 228 256 270 306 336 360 376	-1916855287264
SPT(16)	2338516900658797643	0 30 38 66 80 110 156 206 228 278 324 354 368 396 404 434	-1835550759834
SPT(16)	2338517874271437197	0 50 56 62 122 126 146 164 192 210 230 234 294 300 306 356	-861938120280
STPT(10)	2338518147967177961	0 2 36 38 78 80 120 122 156 158	-588242379516
SPT(16)	2338518418364534687	0 24 42 50 92 134 156 206 240 290 312 354 396 404 422 446	-317845022790
STPT(12)	2338518736033199099	0 2 42 44 48 50 72 74 78 80 120 122	-176358378
TPT(14)	2338519016465811407	0 2 72 74 270 272 282 284 312 314 354 356 384 386	280256253930
STPT(10)	2338519153437371417	0 2 42 44 102 104 162 164 204 206	417227813940
TPT(14)	2338519223810682917	0 2 12 14 30 32 90 92 132 134 144 146 222 224	487601125440
SPT(16)	2338519327846788833	0 26 36 38 60 80 110 120 164 174 204 224 246 248 258 284	591637231356
SPT(16)	2338519381924034081	0 48 68 108 122 146 180 188 210 218 252 276 290 330 350 398	645714476604