Prime p₀= 758781165723518471 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 208 2 88 2 4 2 70 2 (?)
a_n: 0 2 6 8 30 32 240 242 330 332 336 338 408 410
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: 410
Found by: Frank [NT]
db: batch=73, k=14, 4 22 208 88 4 70

STPT(10)	758778344935146647	0 2 42 44 72 74 102 104 144 146	-2820788371824
TPT(14)	758778859489657001	0 2 30 32 48 50 78 80 210 212 216 218 228 230	-2306233861470
STPT(12)	758779456427967899	0 2 12 14 42 44 108 110 138 140 150 152	-1709295550572
TPT(14)	758780663020186319	0 2 42 44 78 80 102 104 120 122 168 170 210 212	-502703332152
SPT(16)	758780968303371427	0 46 60 84 102 120 142 186 190 234 256 274 292 316 330 376	-197420147044
SPT(16)	758781044340801047	0 2 12 66 86 102 114 140 366 392 404 420 440 494 504 506	-121382717424
STPT(10)	758781859123164629	0 2 18 20 30 32 42 44 60 62	693399646158
SPT(16)	758781948281582761	0 18 40 42 48 90 130 156 172 198 238 280 286 288 310 328	782558064290
SPT(16)	758782792874587643	0 18 44 60 114 120 126 140 144 158 164 170 224 240 266 284	1627151069172
SPT(16)	758782852393483657	0 10 24 76 106 112 120 136 150 166 174 180 210 262 276 286	1686669965186
SPT(16)	758783240085185083	0 4 18 60 114 136 150 216 238 304 318 340 394 436 450 454	2074361666612