Prime p₀= 2032097106819531047 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 10 2 4 2 22 2 16 2 28 2 (?)
a_n: 0 2 72 74 84 86 90 92 114 116 132 134 162 164
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: 164
Found by: Landjunge
db: batch=80, k=14, 70 10 4 22 16 28

SPT(16)	2032095496495878311	0 18 38 50 78 86 98 116 120 138 150 158 186 198 218 236	-1610323652736
STPT(10)	2032095650218928051	0 2 6 8 18 20 30 32 36 38	-1456600602996
TPT(14)	2032095710330272127	0 2 30 32 72 74 102 104 162 164 204 206 294 296	-1396489258920
SPT(16)	2032096171155993197	0 14 54 80 212 222 234 236 360 362 374 384 516 542 582 596	-935663537850
SPT(16)	2032096363830340781	0 18 36 80 102 122 128 138 140 150 156 176 198 242 260 278	-742989190266
SPT(16)	2032096891736528369	0 30 42 60 62 128 134 140 162 168 174 240 242 260 272 302	-215083002678
SPT(16)	2032097331688062811	0 22 40 72 76 100 106 112 216 222 228 252 256 288 306 328	224868531764
TPT(14)	2032097748040191539	0 2 30 32 138 140 222 224 288 290 372 374 402 404	641220660492
SPT(16)	2032097802632121607	0 40 42 52 60 66 94 102 154 162 190 196 204 214 216 256	695812590560
STPT(10)	2032098474095576021	0 2 36 38 78 80 120 122 156 158	1367276044974
SPT(16)	2032098547093665433	0 34 76 88 96 126 130 160 174 204 208 238 246 258 300 334	1440274134386