Prime p₀= 2511525205511555507 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 40 2 76 2 58 2 10 2 (?)
a_n: 0 2 30 32 42 44 84 86 162 164 222 224 234 236
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: 236
Found by: JayPi
db: batch=82, k=14, 28 10 40 76 58 10

SPT(16)	2511523797231162047	0 6 20 102 116 146 174 182 234 242 270 300 314 396 410 416	-1408280393460
SPT(16)	2511524024889902147	0 24 30 42 56 80 110 114 152 156 186 210 224 236 242 266	-1180621653360
STPT(10)	2511524525403195017	0 2 60 62 72 74 84 86 144 146	-680108360490
SPT(16)	2511524716589554621	0 16 70 76 90 106 112 120 208 216 222 238 252 258 312 328	-488922000886
STPT(10)	2511525021789463529	0 2 78 80 150 152 222 224 300 302	-183722091978
STPT(10)	2511525054053916809	0 2 18 20 30 32 42 44 60 62	-151457638698
TPT(14)	2511525718922117537	0 2 12 14 54 56 132 134 162 164 234 236 264 266	513410562030
SPT(16)	2511525788852697619	0 18 22 28 94 112 120 132 190 202 210 228 294 300 304 322	583341142112
STPT(10)	2511525819808411499	0 2 18 20 30 32 42 44 60 62	614296855992
STPT(10)	2511525990320145431	0 2 6 8 48 50 90 92 96 98	784808589924
STPT(12)	2511526037998063739	0 2 30 32 42 44 90 92 102 104 132 134	832486508232