Prime p₀= 2301782818528717649 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 4 2 58 2 10 2 40 2 4 2 (?)
a_n: 0 2 102 104 108 110 168 170 180 182 222 224 228 230
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: Landjunge
db: batch=81, k=14, 100 4 58 10 40 4

SPT(16)	2301781774748215051	0 6 10 40 96 106 108 112 216 220 222 232 288 318 322 328	-1043780502598
STPT(10)	2301781925832122021	0 2 36 38 78 80 120 122 156 158	-892696595628
SPT(16)	2301781968531979343	0 20 26 36 56 60 78 98 138 158 176 180 200 210 216 236	-849996738306
STPT(10)	2301782262032532449	0 2 18 20 60 62 102 104 120 122	-556496185200
SPT(16)	2301782430182102863	0 36 88 106 114 178 184 196 228 240 246 310 318 336 388 424	-388346614786
STPT(10)	2301782594984678381	0 2 36 38 78 80 120 122 156 158	-223544039268
STPT(10)	2301783158879179247	0 2 30 32 42 44 54 56 84 86	340350461598
SPT(16)	2301783530511151441	0 6 40 52 96 112 132 192 196 256 276 292 336 348 382 388	711982433792
STPT(10)	2301784127681100677	0 2 24 26 42 44 60 62 84 86	1309152383028
SPT(16)	2301784221617879963	0 24 38 48 60 84 90 116 138 164 170 194 206 216 230 254	1403089162314
STPT(10)	2301784552247699327	0 2 12 14 42 44 72 74 84 86	1733718981678