Prime p₀= 2867384714875818419 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 16 2 88 2 70 2 28 2 (?)
a_n: 0 2 42 44 60 62 78 80 168 170 240 242 270 272
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, 40 16 16 88 70 28

TPT(14)	2867383305438812189	0 2 12 14 30 32 108 110 150 152 162 164 240 242	-1409437006230
SPT(16)	2867383445220672221	0 30 48 56 96 138 152 158 240 246 260 302 342 350 368 398	-1269655146198
STPT(10)	2867383604855632529	0 2 42 44 60 62 78 80 120 122	-1110020185890
SPT(16)	2867383810308353873	0 8 14 20 36 158 180 186 218 224 246 368 384 390 396 404	-904567464546
SPT(16)	2867383996498763891	0 32 36 78 92 102 140 146 162 168 206 216 230 272 276 308	-718377054528
SPT(16)	2867384366053062143	0 14 44 68 78 98 120 194 294 368 390 410 420 444 474 488	-348822756276
SPT(16)	2867384875769066117	0 2 14 44 72 80 180 182 234 236 336 344 372 402 414 416	160893247698
SPT(16)	2867384919426925229	0 8 14 38 72 78 90 104 198 212 224 230 264 288 294 302	204551106810
STPT(10)	2867385543155382647	0 2 30 32 72 74 114 116 144 146	828279564228
SPT(16)	2867385644631199603	0 10 18 28 48 58 70 88 90 108 120 130 150 160 168 178	929755381184
STPT(10)	2867385849235291079	0 2 12 14 90 92 168 170 180 182	1134359472660