Prime p₀= 1025569962567947261 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 16 2 100 2 34 2 10 2 (?)
a_n: 0 2 78 80 90 92 108 110 210 212 246 248 258 260
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: 260
Found by: HenkM
db: batch=76, k=14, 76 10 16 100 34 10

SPT(16)	1025569130827200731	0 2 32 48 66 140 186 212 246 272 318 392 410 426 456 458	-831740746530
SPT(16)	1025569140980077847	0 14 20 32 44 54 74 86 240 252 272 282 294 306 312 326	-821587869414
SPT(16)	1025569308744665983	0 4 16 28 78 90 96 114 130 148 154 166 216 228 240 244	-653823281278
SPT(16)	1025569319880281321	0 18 56 60 78 138 158 186 260 288 308 368 386 390 428 446	-642687665940
SPT(16)	1025569380843591481	0 28 46 52 66 76 88 106 132 150 162 172 186 192 210 238	-581724355780
SPT(16)	1025569728589541579	0 12 14 30 98 110 120 134 168 182 192 204 272 288 290 302	-233978405682
STPT(10)	1025570510820900521	0 2 36 38 78 80 120 122 156 158	548252953260
SPT(16)	1025570587364665021	0 16 36 70 102 106 138 186 232 280 312 316 348 382 402 418	624796717760
STPT(10)	1025570652037091099	0 2 18 20 60 62 102 104 120 122	689469143838
SPT(16)	1025570895912558299	0 38 80 98 110 132 134 150 152 168 170 192 204 222 264 302	933344611038
STPT(10)	1025570910738093659	0 2 18 20 60 62 102 104 120 122	948170146398