Prime p₀= 1022712680700560651 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 34 2 88 2 10 2 10 2 16 2 (?)
a_n: 0 2 90 92 126 128 216 218 228 230 240 242 258 260
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: Theadalus
db: batch=76, k=14, 88 34 88 10 10 16

STPT(10)	1022710987629378557	0 2 42 44 72 74 102 104 144 146	-1693071182094
STPT(10)	1022711151728874869	0 2 18 20 30 32 42 44 60 62	-1528971685782
SPT(16)	1022711359948915573	0 10 18 30 34 40 88 124 144 180 228 234 238 250 258 268	-1320751645078
STPT(10)	1022711784209900177	0 2 30 32 42 44 54 56 84 86	-896490660474
SPT(16)	1022711823182654873	0 8 14 20 30 56 78 120 134 176 198 224 234 240 246 254	-857517905778
SPT(16)	1022712468579097651	0 10 76 78 88 102 130 132 166 168 196 210 220 222 288 298	-212121463000
SPT(16)	1022712855611382407	0 6 24 62 84 92 104 162 194 252 264 272 294 332 350 356	174910821756
STPT(10)	1022713008002291699	0 2 42 44 60 62 78 80 120 122	327301731048
SPT(16)	1022713245276018733	0 16 34 54 84 100 166 220 264 318 384 400 430 450 468 484	564575458082
SPT(18)	1022713346149234391	0 38 72 80 92 138 152 176 222 236 282 306 320 366 378 386 420 458	665448673740
STPT(10)	1022714338655756741	0 2 36 38 78 80 120 122 156 158	1657955196090