Prime p₀= 2013617404255728251 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 88 2 10 2 286 2 58 2 10 2 (?)
a_n: 0 2 66 68 156 158 168 170 456 458 516 518 528 530
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: 530
Found by: Landjunge
db: batch=80, k=14, 64 88 10 286 58 10

SPT(16)	2013615936670913189	0 24 42 90 104 128 138 200 222 284 294 318 332 380 398 422	-1467584815062
SPT(16)	2013615993870543683	0 8 24 96 168 174 230 236 258 264 320 326 398 470 486 494	-1410385184568
STPT(10)	2013616385583801527	0 2 12 14 42 44 72 74 84 86	-1018671926724
SPT(16)	2013616898397454261	0 6 10 52 66 72 112 132 280 300 340 346 360 402 406 412	-505858273990
STPT(10)	2013617149329926687	0 2 30 32 42 44 54 56 84 86	-254925801564
SPT(16)	2013617373598877539	0 30 34 42 94 108 124 132 160 168 184 198 250 258 262 292	-30656850712
SPT(16)	2013617639223815221	0 48 108 130 132 150 156 190 198 232 238 256 258 280 340 388	234968086970
STPT(10)	2013617703792860981	0 2 6 8 48 50 90 92 96 98	299537132730
TPT(14)	2013617870553605507	0 2 162 164 204 206 252 254 270 272 300 302 330 332	466297877256
SPT(16)	2013617873385502693	0 24 36 46 70 96 106 156 178 228 238 264 288 298 310 334	469129774442
SPT(16)	2013618026494207271	0 12 20 26 90 98 132 152 246 266 300 308 372 378 386 398	622238479020