Prime p₀= 2728804259020174997 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 190 2 88 2 40 2 4 2 58 2 (?)
a_n: 0 2 60 62 252 254 342 344 384 386 390 392 450 452
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: 452
Found by: fzs600
db: batch=82, k=14, 58 190 88 40 4 58

SPT(16)	2728803123688847263	0 28 60 64 84 100 108 144 154 190 198 214 234 238 270 298	-1135331327734
STPT(10)	2728803277515012959	0 2 18 20 30 32 42 44 60 62	-981505162038
SPT(16)	2728803486900281711	0 12 62 86 138 140 180 182 186 188 228 230 282 306 356 368	-772119893286
SPT(16)	2728803608891237599	0 18 42 52 94 120 144 190 192 238 262 288 330 340 364 382	-650128937398
SPT(16)	2728804091631318383	0 8 20 30 56 68 86 90 134 138 156 168 194 204 216 224	-167388856614
SPT(16)	2728804092446991697	0 12 40 102 150 166 186 220 222 256 276 292 340 402 430 442	-166573183300
SPT(16)	2728804287018732271	0 40 48 60 82 88 96 108 160 172 180 186 208 220 228 268	27998557274
SPT(16)	2728804451524343791	0 46 70 76 106 132 162 202 216 256 286 312 342 348 372 418	192504168794
STPT(10)	2728804495023861647	0 2 30 32 42 44 54 56 84 86	236003686650
SPT(16)	2728804527050262589	0 10 18 24 70 88 132 144 178 190 234 252 298 304 312 322	268030087592
STPT(10)	2728805154338770877	0 2 30 32 42 44 54 56 84 86	895318595880