Prime p₀= 3001579289936482469 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 70 2 106 2 10 2 58 2 16 2 (?)
a_n: 0 2 30 32 102 104 210 212 222 224 282 284 300 302
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: 302
Found by: arkiss
db: batch=82, k=14, 28 70 106 10 58 16

TPT(14)	3001578743841899909	0 2 30 32 72 74 408 410 510 512 678 680 732 734	-546094582560
SPT(16)	3001578749075354879	0 44 74 78 84 110 132 134 138 140 162 188 194 198 228 272	-540861127590
SPT(16)	3001578984408784987	0 42 54 72 124 142 174 204 250 280 312 330 382 400 412 454	-305527697482
STPT(10)	3001579016827258079	0 2 42 44 60 62 78 80 120 122	-273109224390
SPT(16)	3001579150981994629	0 4 28 82 90 102 184 204 208 228 310 322 330 384 408 412	-138954487840
SPT(16)	3001579159409544647	0 6 30 62 90 92 114 126 170 182 204 206 234 266 290 296	-130526937822
SPT(16)	3001579358026299353	0 6 8 20 36 86 98 146 150 198 210 260 276 288 290 296	68089816884
STPT(10)	3001579564366132961	0 2 30 32 78 80 126 128 156 158	274429650492
TPT(14)	3001579641603776837	0 2 60 62 84 86 102 104 132 134 270 272 312 314	351667294368
SPT(16)	3001579817182088617	0 10 60 66 82 94 100 112 114 126 132 144 160 166 216 226	527245606148
SPT(18)	3001579952736477727	0 52 54 66 72 84 132 142 184 192 234 244 292 304 310 322 324 376	662799995258