Prime p₀= 2909225984135189819 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 178 2 10 2 28 2 28 2 (?)
a_n: 0 2 48 50 78 80 258 260 270 272 300 302 330 332
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: 332
Found by: Landjunge
db: batch=82, k=14, 46 28 178 10 28 28

SPT(16)	2909224789198671667	0 6 10 16 36 40 66 70 120 124 150 154 174 180 184 190	-1194936518152
SPT(16)	2909224815483316039	0 12 28 30 54 64 108 120 142 154 198 208 232 234 250 262	-1168651873780
SPT(13)	2909225057036072767	0 12 24 54 72 114 132 150 192 210 240 252 264	-927099117052
SPT(16)	2909225057284504349	0 14 72 108 110 144 158 182 210 234 248 282 284 320 378 392	-926850685470
STPT(10)	2909225135730914909	0 2 18 20 30 32 42 44 60 62	-848404274910
SPT(16)	2909225442458256881	0 38 42 50 68 98 108 122 168 182 192 222 240 248 252 290	-541676932938
SPT(16)	2909226568671082999	0 10 22 30 78 82 100 124 138 162 180 184 232 240 252 262	584535893180
TPT(16)	2909227378081324931	0 2 78 80 96 98 198 200 246 248 306 308 360 362 408 410	1393946135112
STPT(10)	2909227509130632659	0 2 12 14 30 32 48 50 60 62	1524995442840
SPT(16)	2909227513548422819	0 18 32 60 62 140 162 308 342 488 510 588 590 618 632 650	1529413233000
SPT(13)	2909227647213604999	0 72 84 90 120 132 162 192 204 234 240 252 324	1663078415180