Prime p₀= 2090479916691903587 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 148 2 46 2 40 2 64 2 10 2 (?)
a_n: 0 2 114 116 264 266 312 314 354 356 420 422 432 434
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: 434
Found by: JonS
db: batch=80, k=14, 112 148 46 40 64 10

SPT(16)	2090477686043451491	0 68 86 96 108 140 156 180 248 272 288 320 332 342 360 428	-2230648452096
SPT(16)	2090477747796039733	0 6 36 54 60 66 70 136 204 270 274 280 286 304 334 340	-2168895863854
SPT(16)	2090477866062523109	0 12 30 32 102 104 120 134 138 152 168 170 240 242 260 272	-2050629380478
SPT(16)	2090478641474544697	0 12 46 52 70 82 96 106 126 136 150 162 180 186 220 232	-1275217358890
SPT(16)	2090478998309606587	0 34 82 96 106 132 160 174 202 216 244 270 280 294 342 376	-918382297000
SPT(16)	2090479354647497647	0 52 54 60 72 82 120 150 184 214 252 262 274 280 282 334	-562044405940
SPT(16)	2090479941131523833	0 36 68 80 138 150 216 258 266 308 374 386 444 456 488 524	24439620246
SPT(16)	2090479954796099527	0 34 52 70 84 112 174 190 204 220 282 310 324 342 360 394	38104195940
TPT(14)	2090480005837083269	0 2 12 14 48 50 78 80 162 164 168 170 180 182	89145179682
SPT(16)	2090480030452913611	0 10 22 28 40 42 58 66 142 150 166 168 180 186 198 208	113761010024
STPT(10)	2090480040516489359	0 2 48 50 90 92 132 134 180 182	123824585772