Prime p₀= 2833244128233812849 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 16 2 22 2 4 2 22 2 (?)
a_n: 0 2 78 80 90 92 108 110 132 134 138 140 162 164
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: 164
Found by: [SG-FC] hl
db: batch=82, k=14, 76 10 16 22 4 22

STPT(10)	2833242312301690967	0 2 30 32 42 44 54 56 84 86	-1815932121882
SPT(16)	2833242613378513319	0 14 42 48 114 128 140 144 158 162 174 188 254 260 288 302	-1514855299530
SPT(16)	2833242672316539733	0 6 18 28 40 64 66 76 138 148 150 174 186 196 208 214	-1455917273116
STPT(10)	2833243130144470817	0 2 42 44 72 74 102 104 144 146	-998089342032
SPT(16)	2833243364547731497	0 6 22 64 66 112 124 126 160 162 174 220 222 264 280 286	-763686081352
STPT(10)	2833243619130249497	0 2 12 14 72 74 132 134 144 146	-509103563352
STPT(10)	2833244317977257267	0 2 30 32 72 74 114 116 144 146	189743444418
TPT(14)	2833244748660407087	0 2 12 14 24 26 30 32 54 56 210 212 222 224	620426594238
SPT(16)	2833245126219482027	0 32 42 54 84 102 104 176 270 342 344 362 392 404 414 446	997985669178
STPT(10)	2833245694812963641	0 2 30 32 78 80 126 128 156 158	1566579150792
SPT(16)	2833245961585238527	0 4 12 30 70 154 210 214 252 256 312 396 436 454 462 466	1833351425678