Prime p₀= 774983789800276289 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 148 2 58 2 40 2 88 2 (?)
a_n: 0 2 30 32 78 80 228 230 288 290 330 332 420 422
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: 422
Found by: jozef j
db: batch=73, k=14, 28 46 148 58 40 88

SPT(16)	774983018821795697	0 50 86 90 92 114 134 140 216 222 242 264 266 270 306 356	-770978480592
TPT(14)	774983083025944337	0 2 24 26 84 86 114 116 240 242 270 272 282 284	-706774331952
TPT(14)	774983113952440619	0 2 18 20 30 32 42 44 72 74 90 92 132 134	-675847835670
SPT(16)	774983157869849153	0 60 66 78 80 98 110 150 194 234 246 264 266 278 284 344	-631930427136
SPT(16)	774983175493855649	0 2 14 24 84 132 140 164 198 222 230 278 338 348 360 362	-614306420640
SPT(16)	774983227437741467	0 12 60 80 84 96 122 140 186 204 230 242 246 266 314 326	-562362534822
STPT(10)	774983796327248537	0 2 30 32 42 44 54 56 84 86	6526972248
SPT(16)	774983958583988761	0 12 46 48 66 88 90 102 166 178 180 202 220 222 256 268	168783712472
STPT(10)	774983974783229567	0 2 42 44 72 74 102 104 144 146	184982953278
STPT(10)	774984030342842141	0 2 6 8 48 50 90 92 96 98	240542565852
STPT(10)	774984075067766951	0 2 30 32 78 80 126 128 156 158	285267490662