Prime p₀= 1931578727727605711 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 46 2 40 2 40 2 58 2 16 2 (?)
a_n: 0 2 18 20 66 68 108 110 150 152 210 212 228 230
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=80, k=14, 16 46 40 40 58 16

SPT(16)	1931576987359097473	0 10 66 76 126 136 168 178 198 208 240 250 300 310 366 376	-1740368508238
STPT(10)	1931577220679117117	0 2 30 32 42 44 54 56 84 86	-1507048488594
SPT(16)	1931577707879668309	0 28 30 42 52 108 112 132 160 180 184 240 250 262 264 292	-1019847937402
SPT(16)	1931578163070865909	0 12 28 40 48 52 64 78 94 108 120 124 132 144 160 172	-564656739802
STPT(10)	1931578326381274841	0 2 6 8 48 50 90 92 96 98	-401346330870
STPT(10)	1931578441304402237	0 2 12 14 42 44 72 74 84 86	-286423203474
STPT(10)	1931579318463002939	0 2 78 80 150 152 222 224 300 302	590735397228
SPT(16)	1931579436393435901	0 28 30 78 88 90 132 160 228 256 298 300 310 358 360 388	708665830190
STPT(10)	1931579475189401627	0 2 42 44 72 74 102 104 144 146	747461795916
STPT(10)	1931579619599735837	0 2 30 32 42 44 54 56 84 86	891872130126
SPT(16)	1931580256876540547	0 2 30 60 104 110 132 146 180 194 216 222 266 296 324 326	1529148934836