Prime p₀= 2064783595283161799 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 10 2 34 2 40 2 16 2 (?)
a_n: 0 2 60 62 90 92 102 104 138 140 180 182 198 200
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: 200
Found by: Cruncher Pete
db: batch=80, k=14, 58 28 10 34 40 16

SPT(16)	2064782041426251673	0 36 58 78 96 114 138 154 180 196 220 238 256 276 298 334	-1553856910126
STPT(10)	2064782953531104941	0 2 36 38 78 80 120 122 156 158	-641752056858
SPT(16)	2064783003870531689	0 2 8 20 30 134 140 182 210 252 258 362 372 384 390 392	-591412630110
SPT(18)	2064783051262853819	0 2 18 24 30 62 102 144 162 170 188 230 270 302 308 314 330 332	-544020307980
SPT(16)	2064783547377668129	0 12 42 60 80 90 140 152 258 270 320 330 350 368 398 410	-47905493670
STPT(10)	2064783561133350329	0 2 18 20 30 32 42 44 60 62	-34149811470
SPT(16)	2064783965455535251	0 6 30 36 58 70 76 100 228 252 258 270 292 298 322 328	370172373452
STPT(10)	2064784435527817607	0 2 90 92 102 104 114 116 204 206	840244655808
STPT(10)	2064785205420860267	0 2 42 44 72 74 102 104 144 146	1610137698468
SPT(16)	2064785284829583509	0 50 180 198 224 228 264 354 404 494 530 534 560 578 708 758	1689546421710
SPT(18)	2064785463132848917	0 40 52 60 66 114 136 142 180 226 264 270 292 340 346 354 366 406	1867849687118