Prime p₀= 2032095710330272127 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 28 2 58 2 40 2 88 2 (?)
a_n: 0 2 30 32 72 74 102 104 162 164 204 206 294 296
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: 296
Found by: Landjunge
db: batch=80, k=14, 28 40 28 58 40 88

SPT(16)	2032094417889621431	0 2 68 78 110 132 140 162 188 210 218 240 272 282 348 350	-1292440650696
SPT(16)	2032094774170771073	0 18 24 74 78 84 114 140 144 170 200 206 210 260 266 284	-936159501054
SPT(16)	2032095010920665849	0 30 42 48 110 158 188 222 230 264 294 342 404 410 422 452	-699409606278
STPT(10)	2032095424013682017	0 2 12 14 42 44 72 74 84 86	-286316590110
SPT(16)	2032095496495878311	0 18 38 50 78 86 98 116 120 138 150 158 186 198 218 236	-213834393816
STPT(10)	2032095650218928051	0 2 6 8 18 20 30 32 36 38	-60111344076
SPT(16)	2032096171155993197	0 14 54 80 212 222 234 236 360 362 374 384 516 542 582 596	460825721070
SPT(16)	2032096363830340781	0 18 36 80 102 122 128 138 140 150 156 176 198 242 260 278	653500068654
SPT(16)	2032096891736528369	0 30 42 60 62 128 134 140 162 168 174 240 242 260 272 302	1181406256242
TPT(14)	2032097106819531047	0 2 72 74 84 86 90 92 114 116 132 134 162 164	1396489258920
SPT(16)	2032097331688062811	0 22 40 72 76 100 106 112 216 222 228 252 256 288 306 328	1621357790684