Prime p₀= 2284063805608403321 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 76 2 58 2 28 2 10 2 28 2 (?)
a_n: 0 2 60 62 138 140 198 200 228 230 240 242 270 272
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: 272
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 58 76 58 28 10 28

SPT(16)	2284061931408613907	0 6 66 74 134 210 236 264 482 510 536 612 672 680 740 746	-1874199789414
SPT(16)	2284062673283046871	0 28 66 78 108 130 166 210 256 300 336 358 388 400 438 466	-1132325356450
SPT(16)	2284062942756307847	0 32 50 60 92 114 120 140 186 206 212 234 266 276 294 326	-862852095474
SPT(16)	2284063429803068651	0 48 66 78 86 108 192 240 308 356 440 462 470 482 500 548	-375805334670
SPT(16)	2284063458076275797	0 54 56 96 104 132 174 186 230 242 284 312 320 360 362 416	-347532127524
STPT(10)	2284063623717229097	0 2 42 44 102 104 162 164 204 206	-181891174224
TPT(14)	2284063984464511187	0 2 12 14 24 26 42 44 162 164 180 182 234 236	178856107866
SPT(16)	2284064016839061581	0 18 20 92 98 108 126 150 158 182 200 210 216 288 290 308	211230658260
STPT(10)	2284064265977045969	0 2 18 20 30 32 42 44 60 62	460368642648
TPT(14)	2284064602223964011	0 2 48 50 60 62 90 92 156 158 180 182 258 260	796615560690
TPT(14)	2284064623196364509	0 2 90 92 312 314 408 410 438 440 468 470 492 494	817587961188