Prime p₀= 2659995899508027317 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 112 2 64 2 52 2 16 2 28 2 (?)
a_n: 0 2 30 32 144 146 210 212 264 266 282 284 312 314
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: JayPi
db: batch=82, k=14, 28 112 64 52 16 28

STPT(10)	2659993842053862791	0 2 36 38 78 80 120 122 156 158	-2057454164526
STPT(10)	2659993976158014701	0 2 6 8 18 20 30 32 36 38	-1923350012616
STPT(10)	2659994194055978831	0 2 6 8 18 20 30 32 36 38	-1705452048486
STPT(10)	2659994794221299609	0 2 42 44 90 92 138 140 180 182	-1105286727708
SPT(16)	2659994836388036557	0 4 22 54 60 70 106 142 144 180 216 226 232 264 282 286	-1063119990760
STPT(10)	2659995415742331167	0 2 12 14 72 74 132 134 144 146	-483765696150
SPT(16)	2659996350655887689	0 8 32 62 78 92 98 102 140 144 150 164 180 210 234 242	451147860372
SPT(16)	2659996516290431581	0 28 42 72 106 118 120 162 196 238 240 252 286 316 330 358	616782404264
STPT(10)	2659997027698503341	0 2 30 32 60 62 90 92 120 122	1128190476024
TPT(14)	2659997289322910261	0 2 18 20 30 32 60 62 96 98 156 158 168 170	1389814882944
SPT(16)	2659997915662678369	0 28 34 42 48 70 72 94 168 190 192 214 220 228 234 262	2016154651052