Prime p₀= 2830567539570061931 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 154 2 52 2 34 2 22 2 (?)
a_n: 0 2 78 80 90 92 246 248 300 302 336 338 360 362
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: [SG-FC] hl
db: batch=82, k=14, 76 10 154 52 34 22

SPT(16)	2830567180897470241	0 10 28 76 96 108 126 138 148 160 178 190 210 258 276 286	-358672591690
TPT(14)	2830567249124610197	0 2 12 14 102 104 144 146 222 224 294 296 312 314	-290445451734
SPT(16)	2830567365371547523	0 28 30 100 106 148 178 186 190 198 228 270 276 346 348 376	-174198514408
SPT(16)	2830567443192226861	0 6 22 28 58 78 96 100 138 142 160 180 210 216 232 238	-96377835070
SPT(18)	2830567498423756877	0 32 60 62 104 122 132 140 170 186 216 224 234 252 294 296 324 356	-41146305054
STPT(10)	2830567515564563387	0 2 30 32 42 44 54 56 84 86	-24005498544
TPT(14)	2830567873511970971	0 2 78 80 96 98 108 110 120 122 198 200 210 212	333941909040
SPT(16)	2830568196405509929	0 24 28 102 124 132 172 210 262 300 340 348 370 444 448 472	656835447998
SPT(16)	2830568562124690259	0 20 38 80 90 98 104 108 164 168 174 182 192 234 252 272	1022554628328
SPT(16)	2830568842687393243	0 18 34 46 60 120 126 150 154 178 184 244 258 270 286 304	1303117331312
SPT(16)	2830568961264059803	0 30 34 54 76 90 118 120 124 126 154 168 190 210 214 244	1421693997872