Prime p₀= 2390896155716875349 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 34 2 40 2 88 2 28 2 16 2 (?)
a_n: 0 2 12 14 48 50 90 92 180 182 210 212 228 230
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: 230
Found by: suriv
db: batch=81, k=14, 10 34 40 88 28 16

SPT(16)	2390894973393877739	0 50 54 90 132 174 180 200 204 224 230 272 314 350 354 404	-1182322997610
STPT(10)	2390895081071699897	0 2 90 92 102 104 114 116 204 206	-1074645175452
SPT(16)	2390895161500938497	0 60 66 84 104 110 126 144 152 170 186 192 212 230 236 296	-994215936852
SPT(16)	2390895766570202713	0 28 34 54 64 66 90 126 148 184 208 210 220 240 246 274	-389146672636
SPT(16)	2390895827714821013	0 30 44 80 108 126 140 168 296 324 338 356 384 420 434 464	-328002054336
SPT(16)	2390895914003776219	0 18 40 118 124 138 154 172 210 228 244 258 264 342 364 382	-241713099130
STPT(10)	2390896424334968447	0 2 60 62 102 104 144 146 204 206	268618093098
STPT(10)	2390896462959561239	0 2 42 44 90 92 138 140 180 182	307242685890
STPT(10)	2390896873046993159	0 2 30 32 60 62 90 92 120 122	717330117810
STPT(10)	2390897032528730819	0 2 30 32 60 62 90 92 120 122	876811855470
STPT(10)	2390897043449630039	0 2 18 20 60 62 102 104 120 122	887732754690