Prime p₀= 2888867600121026939 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 10 2 4 2 208 2 10 2 (?)
a_n: 0 2 18 20 30 32 42 44 48 50 258 260 270 272
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: 272
Found by: [SG-FC] hl
db: batch=82, k=14, 16 10 10 4 208 10

SPT(16)	2888866034268974371	0 10 16 28 82 106 162 166 192 196 252 276 330 342 348 358	-1565852052568
SPT(16)	2888866148931316387	0 10 12 16 22 30 36 42 94 100 106 114 120 124 126 136	-1451189710552
SPT(16)	2888866617675675239	0 18 32 38 54 74 92 140 162 210 228 248 264 270 284 302	-982445351700
STPT(10)	2888866772621882147	0 2 30 32 42 44 54 56 84 86	-827499144792
SPT(16)	2888867089231019471	0 26 86 102 116 126 150 176 186 212 236 246 260 276 336 362	-510890007468
SPT(16)	2888867225168838707	0 14 24 50 62 110 140 162 182 204 234 282 294 320 330 344	-374952188232
SPT(16)	2888867729113607903	0 26 60 90 98 114 134 138 176 180 200 216 224 254 288 314	128992580964
STPT(10)	2888867872757339951	0 2 30 32 78 80 126 128 156 158	272636313012
SPT(16)	2888868346092235621	0 28 52 78 88 118 142 148 240 246 270 300 310 336 360 388	745971208682
SPT(16)	2888868688161693287	0 24 66 92 96 116 120 164 222 266 270 290 294 320 362 386	1088040666348
STPT(10)	2888868778581596771	0 2 36 38 78 80 120 122 156 158	1178460569832