Prime p₀= 2830567249124610197 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 88 2 40 2 76 2 70 2 16 2 (?)
a_n: 0 2 12 14 102 104 144 146 222 224 294 296 312 314
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: 314
Found by: [SG-FC] hl
db: batch=82, k=14, 10 88 40 76 70 16

STPT(10)	2830565806073975087	0 2 24 26 42 44 60 62 84 86	-1443050635110
SPT(18)	2830565826463726157	0 14 30 32 80 104 134 140 162 212 234 240 270 294 342 344 360 374	-1422660884040
SPT(16)	2830565888981366819	0 30 38 48 54 90 132 152 210 230 272 308 314 324 332 362	-1360143243378
SPT(18)	2830566292944296563	0 10 34 66 108 118 138 144 150 154 160 166 186 196 238 270 294 304	-956180313634
SPT(16)	2830566662385027193	0 4 24 64 66 78 90 106 108 124 136 148 150 190 210 214	-586739583004
SPT(16)	2830567180897470241	0 10 28 76 96 108 126 138 148 160 178 190 210 258 276 286	-68227139956
SPT(16)	2830567365371547523	0 28 30 100 106 148 178 186 190 198 228 270 276 346 348 376	116246937326
SPT(16)	2830567443192226861	0 6 22 28 58 78 96 100 138 142 160 180 210 216 232 238	194067616664
SPT(18)	2830567498423756877	0 32 60 62 104 122 132 140 170 186 216 224 234 252 294 296 324 356	249299146680
STPT(10)	2830567515564563387	0 2 30 32 42 44 54 56 84 86	266439953190
TPT(14)	2830567539570061931	0 2 78 80 90 92 246 248 300 302 336 338 360 362	290445451734