Prime p₀= 1049244600344553719 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 22 2 4 2 82 2 94 2 22 2 (?)
a_n: 0 2 138 140 162 164 168 170 252 254 348 350 372 374
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: 374
Found by: stoneageman
db: batch=76, k=14, 136 22 4 82 94 22

STPT(10)	1049243619256190297	0 2 30 32 60 62 90 92 120 122	-981088363422
TPT(14)	1049243707871338361	0 2 48 50 90 92 126 128 156 158 180 182 186 188	-892473215358
STPT(10)	1049243795898735719	0 2 18 20 60 62 102 104 120 122	-804445818000
SPT(16)	1049243972110436497	0 24 54 66 72 94 114 132 184 202 222 244 250 262 292 316	-628234117222
STPT(10)	1049244177505594121	0 2 6 8 18 20 30 32 36 38	-422838959598
SPT(16)	1049244575242106431	0 16 28 30 42 88 90 136 192 238 240 286 298 300 312 328	-25102447288
STPT(10)	1049244705487792907	0 2 30 32 60 62 90 92 120 122	105143239188
SPT(16)	1049244877582803217	0 4 24 54 64 84 94 114 136 156 166 186 196 226 246 250	277238249498
SPT(16)	1049245219869856963	0 66 76 78 90 100 106 150 154 198 204 214 226 228 238 304	619525303244
SPT(16)	1049245358037506089	0 18 64 70 82 102 162 168 214 220 280 300 312 318 364 382	757692952370
STPT(10)	1049245677119604617	0 2 42 44 72 74 102 104 144 146	1076775050898