Prime p₀= 2511528600588086507 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 40 2 88 2 58 2 16 2 (?)
a_n: 0 2 42 44 72 74 114 116 204 206 264 266 282 284
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: 284
Found by: [SG-FC] hl
db: batch=82, k=14, 40 28 40 88 58 16

SPT(16)	2511527391946088311	0 12 28 82 96 120 138 148 180 190 208 232 246 300 316 328	-1208641998196
SPT(16)	2511527417494877267	0 12 44 54 84 104 110 180 206 276 282 302 332 342 374 386	-1183093209240
SPT(16)	2511527794370859947	0 2 14 90 182 194 212 254 270 312 330 342 434 510 522 524	-806217226560
SPT(16)	2511527882410232501	0 8 12 36 50 62 138 140 168 170 246 258 272 296 300 308	-718177854006
TPT(14)	2511528144627403511	0 2 30 32 108 110 120 122 150 152 198 200 210 212	-455960682996
SPT(16)	2511528272852495311	0 16 18 60 72 88 136 142 156 162 210 226 238 280 282 298	-327735591196
TPT(16)	2511528925384134077	0 2 42 44 90 92 162 164 210 212 294 296 342 344 354 356	324796047570
STPT(10)	2511529208067988637	0 2 12 14 42 44 72 74 84 86	607479902130
SPT(16)	2511529579525471919	0 8 18 32 42 44 50 74 78 102 108 110 120 134 144 152	978937385412
STPT(10)	2511530086653588821	0 2 6 8 18 20 30 32 36 38	1486065502314
SPT(13)	2511530424872728009	0 60 72 114 150 174 192 210 234 270 312 324 384	1824284641502