Prime p₀= 1766071621792023311 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 28 2 58 2 22 2 4 2 10 2 (?)
a_n: 0 2 6 8 36 38 96 98 120 122 126 128 138 140
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: 140
Found by: CoolAtchOk
db: batch=79, k=14, 4 28 58 22 4 10

SPT(16)	1766070493029779647	0 6 12 42 60 72 112 126 130 144 184 196 214 244 250 256	-1128762243664
SPT(16)	1766070606229280777	0 2 6 24 56 60 74 96 200 222 236 240 272 290 294 296	-1015562742534
STPT(10)	1766070699999248957	0 2 12 14 42 44 72 74 84 86	-921792774354
STPT(10)	1766070721602461567	0 2 42 44 72 74 102 104 144 146	-900189561744
SPT(16)	1766071334681825207	0 2 36 54 60 66 80 102 134 156 170 176 182 200 234 236	-287110198104
STPT(10)	1766071534552136807	0 2 30 32 72 74 114 116 144 146	-87239886504
STPT(10)	1766071649920160267	0 2 24 26 42 44 60 62 84 86	28128136956
SPT(16)	1766071938703056343	0 10 34 90 94 108 130 150 178 198 220 234 238 294 318 328	316911033032
SPT(16)	1766071966454476669	0 30 42 48 108 132 162 174 318 330 360 384 444 450 462 492	344662453358
SPT(20)	1766072306252813773	0 4 34 76 78 90 100 154 156 214 240 298 300 354 364 376 378 420 450 454	684460790462
SPT(16)	1766072362790308819	0 22 24 28 52 88 100 124 168 192 204 240 264 268 270 292	740998285508