Prime p₀= 3213035994381238799 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 40 2 34 2 52 2 4 2 40 2 (?)
a_n: 0 2 90 92 132 134 168 170 222 224 228 230 270 272
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: Hightower
db: batch=83, k=14, 88 40 34 52 4 40

STPT(12)	3213034581377742941	0 2 78 80 138 140 150 152 210 212 288 290	-1413003495858
STPT(10)	3213034786292207879	0 2 30 32 60 62 90 92 120 122	-1208089030920
SPT(16)	3213034897315432949	0 48 134 170 174 182 194 240 242 288 300 308 312 348 434 482	-1097065805850
SPT(16)	3213035096913357109	0 34 52 70 94 102 108 114 148 154 160 168 192 210 228 262	-897467881690
SPT(16)	3213035180441864381	0 6 18 36 42 50 90 120 128 158 198 206 212 230 242 248	-813939374418
SPT(16)	3213035852033963393	0 8 50 54 84 128 138 140 168 170 180 224 254 258 300 308	-142347275406
SPT(16)	3213036137760445487	0 24 36 56 60 80 116 126 194 204 240 260 264 284 296 320	143379206688
SPT(13)	3213036458615582111	0 36 60 66 108 186 198 210 288 330 336 360 396	464234343312
STPT(10)	3213036505801930901	0 2 30 32 60 62 90 92 120 122	511420692102
STPT(10)	3213036785577244697	0 2 30 32 42 44 54 56 84 86	791196005898
STPT(10)	3213037100404179467	0 2 12 14 42 44 72 74 84 86	1106022940668