Prime p₀= 2649541735796450609 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 118 2 28 2 70 2 16 2 (?)
a_n: 0 2 78 80 90 92 210 212 240 242 312 314 330 332
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: 332
Found by: biodoc
db: batch=82, k=14, 76 10 118 28 70 16

SPT(16)	2649540727506687803	0 18 20 90 96 110 120 200 204 284 294 308 314 384 386 404	-1008289762806
STPT(10)	2649540745667730791	0 2 30 32 60 62 90 92 120 122	-990128719818
SPT(16)	2649540971461756249	0 12 28 30 42 78 100 132 148 180 202 238 250 252 268 280	-764334694360
STPT(10)	2649541097637254939	0 2 18 20 30 32 42 44 60 62	-638159195670
SPT(16)	2649541230078783373	0 36 60 84 114 180 196 216 238 258 274 340 370 394 418 454	-505717667236
SPT(16)	2649541309449746533	0 24 28 40 54 78 108 126 178 196 226 250 264 276 280 304	-426346704076
STPT(10)	2649541940967673691	0 2 30 32 120 122 210 212 240 242	205171223082
SPT(16)	2649542163037356859	0 70 90 132 142 178 192 198 262 268 282 318 328 370 390 460	427240906250
SPT(16)	2649542220560517701	0 6 30 42 48 68 86 210 278 402 420 440 446 458 482 488	484764067092
STPT(10)	2649542346993343421	0 2 6 8 48 50 90 92 96 98	611196892812
STPT(10)	2649542354756091077	0 2 84 86 132 134 180 182 264 266	618959640468