Prime p₀= 2679799552557296759 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 46 2 172 2 4 2 22 2 (?)
a_n: 0 2 18 20 30 32 78 80 252 254 258 260 282 284
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: 284
Found by: [SG-FC] hl
db: batch=82, k=14, 16 10 46 172 4 22

STPT(10)	2679798265644380849	0 2 42 44 90 92 138 140 180 182	-1286912915910
STPT(10)	2679798438722277659	0 2 48 50 90 92 132 134 180 182	-1113835019100
SPT(16)	2679798559824037649	0 50 84 98 110 114 128 132 140 144 158 162 174 188 222 272	-992733259110
SPT(16)	2679798604172190223	0 30 60 64 84 154 156 184 240 268 270 340 360 364 394 424	-948385106536
SPT(16)	2679798898208916881	0 36 50 60 66 80 126 150 158 182 228 242 248 258 272 308	-654348379878
SPT(16)	2679799496444511941	0 38 48 78 90 140 170 258 290 378 408 458 470 500 510 548	-56112784818
STPT(10)	2679800392997506277	0 2 30 32 72 74 114 116 144 146	840440209518
STPT(10)	2679800430202862147	0 2 30 32 42 44 54 56 84 86	877645565388
TPT(14)	2679800829350290409	0 2 78 80 150 152 210 212 252 254 288 290 360 362	1276792993650
SPT(16)	2679800966697690371	0 12 20 26 42 72 90 110 132 152 170 200 216 222 230 242	1414140393612
SPT(16)	2679801520098233903	0 14 30 50 66 80 86 140 144 198 204 218 234 254 270 284	1967540937144