Prime p₀= 997795084355848061 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 4 2 28 2 52 2 64 2 10 2 (?)
a_n: 0 2 90 92 96 98 126 128 180 182 246 248 258 260
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: vinn@[CNT]
db: batch=76, k=14, 88 4 28 52 64 10

SPT(16)	997794241433783347	0 16 22 42 64 72 94 100 156 162 184 192 214 234 240 256	-842922064714
STPT(10)	997794623823241817	0 2 24 26 42 44 60 62 84 86	-460532606244
STPT(10)	997794741206596769	0 2 18 20 60 62 102 104 120 122	-343149251292
STPT(10)	997794805318419149	0 2 18 20 30 32 42 44 60 62	-279037428912
SPT(16)	997794835665766711	0 6 48 70 72 112 136 156 172 192 216 256 258 280 322 328	-248690081350
STPT(10)	997794928217096489	0 2 18 20 30 32 42 44 60 62	-156138751572
SPT(16)	997795114782240451	0 10 18 48 102 118 132 166 222 256 270 286 340 370 378 388	30426392390
STPT(10)	997795684354922639	0 2 18 20 30 32 42 44 60 62	599999074578
STPT(10)	997795987762344467	0 2 54 56 72 74 90 92 144 146	903406496406
STPT(10)	997796222127942857	0 2 42 44 72 74 102 104 144 146	1137772094796
SPT(16)	997796279624676131	0 18 42 62 80 108 132 140 150 158 182 210 228 248 272 290	1195268828070