Prime p₀= 2892427749752767901 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 82 2 58 2 106 2 40 2 28 2 (?)
a_n: 0 2 36 38 120 122 180 182 288 290 330 332 360 362
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: 362
Found by: arkiss
db: batch=82, k=14, 34 82 58 106 40 28

TPT(14)	2892425944797362969	0 2 78 80 132 134 228 230 240 242 270 272 282 284	-1804955404932
SPT(16)	2892426087556210519	0 4 12 52 112 142 144 174 178 208 210 240 300 340 348 352	-1662196557382
TPT(16)	2892426528324454169	0 2 138 140 252 254 312 314 318 320 378 380 408 410 438 440	-1221428313732
SPT(16)	2892426679788934213	0 46 58 60 76 84 90 120 154 184 190 198 214 216 228 274	-1069963833688
STPT(10)	2892427382647125131	0 2 6 8 48 50 90 92 96 98	-367105642770
SPT(16)	2892427737024076709	0 2 24 110 152 170 174 194 210 230 234 252 294 380 402 404	-12728691192
TPT(14)	2892427768109445287	0 2 54 56 72 74 294 296 390 392 432 434 450 452	18356677386
SPT(16)	2892427903295966653	0 28 90 94 120 168 184 190 198 204 220 268 294 298 360 388	153543198752
TPT(14)	2892428068643628719	0 2 12 14 120 122 138 140 222 224 348 350 402 404	318890860818
SPT(16)	2892428234310669337	0 12 30 54 70 100 114 132 142 160 174 204 220 244 262 274	484557901436
SPT(16)	2892428701653880693	0 16 30 40 78 90 108 124 150 166 184 196 234 244 258 274	951901112792