Prime p₀= 1964026058313516479 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 28 2 64 2 28 2 58 2 (?)
a_n: 0 2 60 62 72 74 102 104 168 170 198 200 258 260
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: 260
Found by: Landjunge
db: batch=80, k=14, 58 10 28 64 28 58

SPT(16)	1964025105070590937	0 12 42 60 82 126 144 154 222 232 250 294 316 334 364 376	-953242925542
STPT(10)	1964025488802267509	0 2 48 50 90 92 132 134 180 182	-569511248970
SPT(16)	1964025642421887179	0 2 18 32 44 50 120 150 182 212 282 288 300 314 330 332	-415891629300
STPT(10)	1964025693652977569	0 2 18 20 30 32 42 44 60 62	-364660538910
TPT(14)	1964025844023940391	0 2 48 50 60 62 120 122 156 158 168 170 198 200	-214289576088
TPT(14)	1964025877509476969	0 2 102 104 192 194 240 242 312 314 348 350 378 380	-180804039510
STPT(10)	1964026409776265531	0 2 156 158 168 170 180 182 336 338	351462749052
SPT(16)	1964026720417204673	0 20 26 60 86 164 180 224 240 284 300 378 404 438 444 464	662103688194
SPT(16)	1964026829510578979	0 32 108 132 144 152 180 224 318 362 390 398 410 434 510 542	771197062500
STPT(10)	1964027247330681077	0 2 30 32 42 44 54 56 84 86	1189017164598
STPT(10)	1964027494082830607	0 2 12 14 72 74 132 134 144 146	1435769314128