Prime p₀= 779512240508450567 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Frank [NT]
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	779511612962006849	0 42 74 84 140 144 152 210 212 270 278 282 338 348 380 422	-627546443718
SPT(16)	779511710301764641	0 48 76 88 108 186 246 252 256 262 322 400 420 432 460 508	-530206685926
SPT(16)	779511748301209369	0 4 10 34 40 64 70 78 94 102 108 132 138 162 168 172	-492207241198
SPT(16)	779511768648082291	0 16 22 28 30 72 90 132 136 178 196 238 240 246 252 268	-471860368276
TPT(14)	779511834715992617	0 2 24 26 150 152 252 254 264 266 402 404 414 416	-405792457950
STPT(12)	779512028857725341	0 2 6 8 48 50 78 80 120 122 126 128	-211650725226
SPT(16)	779512331140646401	0 30 36 60 106 138 190 198 298 306 358 390 436 460 466 496	90632195834
TPT(14)	779513418168022619	0 2 30 32 48 50 102 104 132 134 168 170 222 224	1177659572052
SPT(16)	779513550965517353	0 6 30 128 144 156 188 258 266 336 368 380 396 494 518 524	1310457066786
TPT(14)	779513643274147721	0 2 18 20 36 38 78 80 90 92 186 188 300 302	1402765697154
SPT(16)	779513672914749581	0 12 42 86 90 96 188 230 288 330 422 428 432 476 506 518	1432406299014