Prime p₀= 2759166474911040827 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 58 2 112 2 76 2 88 2 40 2 (?)
a_n: 0 2 120 122 180 182 294 296 372 374 462 464 504 506
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: 506
Found by: JayPi
db: batch=82, k=14, 118 58 112 76 88 40

SPT(16)	2759165646332177491	0 10 36 48 58 76 90 120 148 178 192 210 220 232 258 268	-828578863336
TPT(14)	2759165701065009347	0 2 12 14 42 44 60 62 102 104 234 236 270 272	-773846031480
STPT(10)	2759165786484413849	0 2 48 50 90 92 132 134 180 182	-688426626978
SPT(16)	2759165853573680281	0 12 16 22 42 48 52 58 90 96 100 106 126 132 136 148	-621337360546
SPT(16)	2759165921247013703	0 14 18 36 50 78 90 96 188 194 206 234 248 266 270 284	-553664027124
SPT(16)	2759166286066264733	0 66 80 86 168 180 198 200 204 206 224 236 318 324 338 404	-188844776094
SPT(16)	2759167257895512083	0 50 86 90 98 116 120 176 210 266 270 288 296 300 336 386	782984471256
STPT(10)	2759167359806335559	0 2 12 14 90 92 168 170 180 182	884895294732
SPT(16)	2759167409264256817	0 10 36 52 82 112 136 166 180 210 234 264 294 310 336 346	934353215990
SPT(16)	2759167466810182763	0 14 26 60 86 114 126 128 306 308 320 348 374 408 420 434	991899141936
STPT(10)	2759167687689629339	0 2 12 14 30 32 48 50 60 62	1212778588512