Prime p₀= 2801023314945365009 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 76 2 16 2 22 2 76 2 106 2 (?)
a_n: 0 2 12 14 90 92 108 110 132 134 210 212 318 320
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: 320
Found by: [SG-FC] hl
db: batch=82, k=14, 10 76 16 22 76 106

SPT(16)	2801021774283605497	0 6 72 84 114 184 214 226 270 282 312 382 412 424 490 496	-1540661759512
STPT(10)	2801022071339935109	0 2 42 44 60 62 78 80 120 122	-1243605429900
SPT(16)	2801022175795407983	0 6 38 44 56 80 96 110 144 158 174 198 210 216 248 254	-1139149957026
SPT(16)	2801022264757197661	0 10 12 52 70 136 138 162 166 190 192 258 276 316 318 328	-1050188167348
TPT(14)	2801022266106118697	0 2 12 14 24 26 30 32 144 146 192 194 210 212	-1048839246312
STPT(10)	2801022276966471287	0 2 30 32 72 74 114 116 144 146	-1037978893722
STPT(10)	2801023614066631697	0 2 42 44 72 74 102 104 144 146	299121266688
TPT(14)	2801023911813007421	0 2 6 8 30 32 36 38 78 80 228 230 366 368	596867642412
STPT(10)	2801023942484408819	0 2 168 170 180 182 192 194 360 362	627539043810
SPT(18)	2801024522527171091	0 12 50 56 72 92 98 116 158 180 222 240 246 266 282 288 326 338	1207581806082
SPT(16)	2801024871453665249	0 32 38 60 78 98 120 122 198 200 222 242 260 282 288 320	1556508300240