Prime p₀= 2002532429357464127 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 4 2 28 2 88 2 130 2 10 2 (?)
a_n: 0 2 54 56 60 62 90 92 180 182 312 314 324 326
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: 326
Found by: [SG-2W]Kurzer
db: batch=80, k=14, 52 4 28 88 130 10

SPT(16)	2002531514145285089	0 14 30 80 84 102 152 170 222 240 290 308 312 362 378 392	-915212179038
STPT(10)	2002531723800419891	0 2 30 32 78 80 126 128 156 158	-705557044236
SPT(16)	2002531838404614823	0 76 94 148 150 154 174 208 246 280 300 304 306 360 378 454	-590952849304
SPT(16)	2002532010357640351	0 6 22 66 78 160 162 210 238 286 288 370 382 426 442 448	-418999823776
STPT(10)	2002532129460771911	0 2 30 32 60 62 90 92 120 122	-299896692216
SPT(16)	2002532351185405771	0 12 30 72 90 166 196 222 310 336 366 442 460 502 520 532	-78172058356
SPT(16)	2002532728499214721	0 28 46 52 76 88 106 108 130 132 150 162 186 192 210 238	299141750594
SPT(16)	2002532975096230249	0 40 70 138 144 150 168 180 268 280 298 304 310 378 408 448	545738766122
SPT(16)	2002533533932720609	0 18 52 60 108 118 120 132 148 160 162 172 220 228 262 280	1104575256482
TPT(14)	2002534046437922399	0 2 42 44 108 110 138 140 150 152 180 182 252 254	1617080458272
TPT(14)	2002534255469873759	0 2 12 14 168 170 210 212 228 230 252 254 258 260	1826112409632