Prime p₀= 779742464725001747 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 146
Found by: Dr Who Fan
db: batch=73, k=10, 2 52 2 16 2

SPT(16)	779741505315248953	0 24 60 64 70 100 130 136 288 294 324 354 360 364 400 424	-959409752794
SPT(13)	779741617712836747	0 24 36 90 96 126 150 174 204 210 264 276 300	-847012165000
SPT(16)	779741772477549433	0 10 34 48 66 70 88 90 214 216 234 238 256 270 294 304	-692247452314
STPT(10)	779741781173383097	0 2 24 26 42 44 60 62 84 86	-683551618650
SPT(18)	779742010782213503	0 14 36 48 68 90 128 140 150 194 204 216 254 276 296 308 330 344	-453942788244
SPT(16)	779742205692414803	0 24 68 86 90 104 108 116 138 146 150 164 168 186 230 254	-259032586944
SPT(16)	779742627833188451	0 12 26 102 210 236 278 288 290 300 342 368 476 552 566 578	163108186704
TPT(14)	779743350493069349	0 2 30 32 48 50 90 92 102 104 162 164 258 260	885768067602
SPT(16)	779743423815870691	0 52 58 90 106 162 178 216 262 300 316 372 388 420 426 478	959090868944
SPT(16)	779743509298192339	0 4 28 52 90 102 148 168 214 234 280 292 330 354 378 382	1044573190592
SPT(16)	779743667141953373	0 30 54 84 146 150 170 230 234 294 314 318 380 410 434 464	1202416951626