Prime p₀= 2716263214128830981 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 34 2 40 2 16 2 40 2 (?)
a_n: 0 2 30 32 60 62 96 98 138 140 156 158 198 200
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: 200
Found by: JayPi
db: batch=82, k=14, 28 28 34 40 16 40

SPT(16)	2716261731046793681	0 38 48 50 56 72 78 92 126 140 146 162 168 170 180 218	-1483082037300
SPT(16)	2716262349911387341	0 22 36 42 58 72 78 100 108 130 136 150 166 172 186 208	-864217443640
STPT(12)	2716262628884121011	0 2 30 32 36 38 120 122 126 128 156 158	-585244709970
STPT(10)	2716263036491151137	0 2 12 14 42 44 72 74 84 86	-177637679844
SPT(16)	2716263045196338541	0 30 36 40 46 70 100 120 148 168 198 222 228 232 238 268	-168932492440
STPT(10)	2716263113509974209	0 2 18 20 30 32 42 44 60 62	-100618856772
TPT(14)	2716263514314857231	0 2 18 20 48 50 96 98 126 128 168 170 180 182	300186026250
TPT(14)	2716263534642639227	0 2 30 32 54 56 114 116 162 164 204 206 432 434	320513808246
STPT(10)	2716263581878076639	0 2 48 50 90 92 132 134 180 182	367749245658
STPT(10)	2716264545873755489	0 2 18 20 30 32 42 44 60 62	1331744924508
SPT(16)	2716264590129118219	0 10 42 72 88 100 114 118 144 148 162 174 190 220 252 262	1376000287238