Prime p₀= 3327172325158322489 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 28 2 106 2 88 2 22 2 (?)
a_n: 0 2 30 32 60 62 90 92 198 200 288 290 312 314
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: 314
Found by: Plejaden
db: batch=83, k=14, 28 28 28 106 88 22

TPT(16)	3327169920137461157	0 2 12 14 42 44 60 62 90 92 240 242 264 266 300 302	-2405020861332
STPT(10)	3327170724742848131	0 2 36 38 78 80 120 122 156 158	-1600415474358
SPT(16)	3327171156237195563	0 24 30 44 60 90 104 126 164 186 200 230 246 260 266 290	-1168921126926
STPT(10)	3327171574122734927	0 2 30 32 42 44 54 56 84 86	-751035587562
STPT(10)	3327171858233790557	0 2 42 44 72 74 102 104 144 146	-466924531932
STPT(10)	3327172095886984529	0 2 30 32 60 62 90 92 120 122	-229271337960
STPT(10)	3327173319315290747	0 2 30 32 42 44 54 56 84 86	994156968258
STPT(10)	3327173710577679617	0 2 30 32 72 74 114 116 144 146	1385419357128
SPT(16)	3327174129224074267	0 10 34 52 66 76 90 106 150 166 180 190 204 222 246 256	1804065751778
SPT(16)	3327174219356011777	0 22 34 54 100 132 174 180 184 190 232 264 310 330 342 364	1894197689288
STPT(10)	3327174659394412031	0 2 6 8 18 20 30 32 36 38	2334236089542