Prime p₀= 2860513591218007721 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 46 2 40 2 106 2 28 2 (?)
a_n: 0 2 36 38 78 80 126 128 168 170 276 278 306 308
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: 308
Found by: [SG-FC] hl
db: batch=82, k=14, 34 40 46 40 106 28

SPT(16)	2860511259888918019	0 30 42 82 90 114 124 150 202 228 238 262 270 310 322 352	-2331329089702
STPT(10)	2860511454370545917	0 2 30 32 42 44 54 56 84 86	-2136847461804
STPT(10)	2860511818232054417	0 2 54 56 72 74 90 92 144 146	-1772985953304
STPT(10)	2860512802576044797	0 2 30 32 42 44 54 56 84 86	-788641962924
STPT(10)	2860513142646415379	0 2 12 14 30 32 48 50 60 62	-448571592342
STPT(10)	2860513170171119147	0 2 24 26 42 44 60 62 84 86	-421046888574
STPT(10)	2860513696834722821	0 2 6 8 48 50 90 92 96 98	105616715100
SPT(16)	2860513746030202711	0 22 36 40 42 82 88 102 106 120 126 166 168 172 186 208	154812194990
SPT(16)	2860514018620017131	0 8 26 38 56 60 66 80 138 152 158 162 180 192 210 218	427402009410
SPT(16)	2860514276323964989	0 40 42 60 82 94 100 232 312 444 450 462 484 502 504 544	685105957268
SPT(16)	2860514291805277307	0 12 26 56 102 104 114 132 194 212 222 224 270 300 314 326	700587269586