Prime p₀= 2379578874987558071 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 52 2 28 2 4 2 40 2 88 2 (?)
a_n: 0 2 36 38 90 92 120 122 126 128 168 170 258 260
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: 260
Found by: arkiss
db: batch=81, k=14, 34 52 28 4 40 88

SPT(16)	2379578007866895727	0 6 36 42 100 106 132 156 166 190 216 222 280 286 316 322	-867120662344
STPT(10)	2379578062633730009	0 2 18 20 60 62 102 104 120 122	-812353828062
TPT(14)	2379578501861142191	0 2 30 32 78 80 150 152 348 350 366 368 420 422	-373126415880
STPT(10)	2379578576755462931	0 2 30 32 60 62 90 92 120 122	-298232095140
SPT(16)	2379578611378266787	0 10 30 42 46 126 172 196 210 234 280 360 364 376 396 406	-263609291284
STPT(10)	2379578781806935307	0 2 30 32 42 44 54 56 84 86	-93180622764
SPT(16)	2379579011954073689	0 30 90 104 140 158 174 180 218 224 240 258 294 308 368 398	136966515618
SPT(16)	2379579023932034549	0 32 48 72 102 140 158 170 270 282 300 338 368 392 408 440	148944476478
SPT(16)	2379579049791939833	0 6 48 50 60 74 78 84 110 116 120 134 144 146 188 194	174804381762
STPT(10)	2379579083301807467	0 2 42 44 132 134 222 224 264 266	208314249396
STPT(10)	2379579595085449541	0 2 36 38 78 80 120 122 156 158	720097891470