Prime p₀= 2396142477123244709 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 76 2 52 2 238 2 16 2 (?)
a_n: 0 2 30 32 60 62 138 140 192 194 432 434 450 452
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: [AF] Kalianthys
db: batch=81, k=14, 28 28 76 52 238 16

STPT(10)	2396141215366849031	0 2 6 8 48 50 90 92 96 98	-1261756395678
SPT(16)	2396141257857724199	0 12 32 84 98 170 180 182 240 242 252 324 338 390 410 422	-1219265520510
STPT(10)	2396141680345596047	0 2 12 14 72 74 132 134 144 146	-796777648662
STPT(10)	2396141866536538577	0 2 30 32 72 74 114 116 144 146	-610586706132
SPT(16)	2396141914304580727	0 82 84 96 106 120 124 126 130 132 136 150 160 172 174 256	-562818663982
SPT(16)	2396142328693848737	0 44 56 62 104 114 122 164 192 234 242 252 294 300 312 356	-148429395972
SPT(16)	2396142561771989167	0 22 34 42 90 100 102 114 172 184 186 196 244 252 264 286	84648744458
SPT(16)	2396142729400886783	0 50 74 84 98 104 116 170 204 258 270 276 290 300 324 374	252277642074
SPT(16)	2396142742243537103	0 36 60 84 98 108 110 116 168 174 176 186 200 224 248 284	265120292394
SPT(16)	2396142787080973163	0 6 8 44 50 78 98 140 234 276 296 324 330 366 368 374	309957728454
TPT(16)	2396142819293001587	0 2 12 14 42 44 84 86 174 176 180 182 240 242 252 254	342169756878