Prime p₀= 2626809248056704089 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 64 2 82 2 124 2 10 2 (?)
a_n: 0 2 12 14 42 44 108 110 192 194 318 320 330 332
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: 332
Found by: ANCHULA-MARK
db: batch=82, k=14, 10 28 64 82 124 10

SPT(16)	2626807456436201123	0 44 74 96 108 114 128 158 246 276 290 296 308 330 360 404	-1791620502966
SPT(16)	2626807597754269939	0 48 60 64 72 78 120 130 132 142 184 190 198 202 214 262	-1650302434150
SPT(16)	2626807863656555053	0 10 34 70 88 100 208 210 268 270 378 390 408 444 468 478	-1384400149036
SPT(20)	2626808057601427033	0 6 34 76 90 96 210 244 246 256 288 298 300 334 448 454 468 510 538 544	-1190455277056
STPT(10)	2626808280467524367	0 2 30 32 42 44 54 56 84 86	-967589179722
TPT(14)	2626808359828057679	0 2 30 32 42 44 150 152 222 224 282 284 288 290	-888228646410
STPT(10)	2626809585273025049	0 2 42 44 60 62 78 80 120 122	337216320960
STPT(10)	2626809665623408589	0 2 18 20 30 32 42 44 60 62	417566704500
SPT(16)	2626810202769422459	0 18 30 32 54 60 62 80 132 150 152 158 180 182 194 212	954712718370
SPT(16)	2626810733176246913	0 8 20 30 48 80 90 108 140 158 168 200 218 228 240 248	1485119542824
TPT(14)	2626811033445694097	0 2 90 92 120 122 162 164 210 212 330 332 354 356	1785388990008