Prime p₀= 2681440604591434109 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 22 2 58 2 4 2 40 2 (?)
a_n: 0 2 30 32 48 50 72 74 132 134 138 140 180 182
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: 182
Found by: RFGuy_KCCO
db: batch=82, k=14, 28 16 22 58 4 40

STPT(10)	2681438236923131027	0 2 24 26 42 44 60 62 84 86	-2367668303082
STPT(10)	2681438469436220147	0 2 42 44 132 134 222 224 264 266	-2135155213962
SPT(16)	2681438776089148891	0 6 58 70 78 88 106 156 160 210 228 238 246 258 310 316	-1828502285218
SPT(16)	2681438797916263153	0 18 30 40 48 60 70 126 130 186 196 208 216 226 238 256	-1806675170956
SPT(13)	2681439100287577361	0 12 30 42 72 102 120 138 168 198 210 228 240	-1504303856748
SPT(16)	2681439398448494597	0 6 26 50 72 90 92 132 134 174 176 194 216 240 260 266	-1206142939512
STPT(10)	2681441145824847347	0 2 30 32 42 44 54 56 84 86	541233413238
SPT(16)	2681441477244261187	0 36 52 84 96 124 136 162 184 210 222 250 262 294 310 346	872652827078
STPT(10)	2681442159365320361	0 2 6 8 48 50 90 92 96 98	1554773886252
STPT(10)	2681442280586786147	0 2 54 56 72 74 90 92 144 146	1675995352038
SPT(16)	2681442485568846521	0 8 36 48 56 78 90 158 228 296 308 330 338 350 378 386	1880977412412