Prime p₀= 781020461414334257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG]steini
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	781019907212508451	0 36 42 196 202 208 210 246 262 298 300 306 312 466 472 508	-554201825806
SPT(16)	781020212768795723	0 80 114 168 204 224 240 276 308 344 360 380 416 470 504 584	-248645538534
SPT(16)	781020218395678801	0 16 70 72 78 102 108 126 172 190 196 220 226 228 282 298	-243018655456
STPT(10)	781020237065258171	0 2 36 38 78 80 120 122 156 158	-224349076086
SPT(16)	781020278705672359	0 22 30 58 60 100 142 148 162 168 210 250 252 280 288 310	-182708661898
STPT(10)	781020454979966867	0 2 12 14 42 44 72 74 84 86	-6434367390
SPT(16)	781020809503999357	0 10 12 16 24 34 54 72 94 112 132 142 150 154 156 166	348089665100
TPT(14)	781021169051465621	0 2 138 140 270 272 276 278 360 362 366 368 378 380	707637131364
SPT(16)	781021773987100231	0 10 22 36 46 78 126 148 210 232 280 312 322 336 348 358	1312572765974
STPT(10)	781021806133798121	0 2 6 8 48 50 90 92 96 98	1344719463864
SPT(16)	781021856250863377	0 10 30 66 82 96 142 160 216 234 280 294 310 346 366 376	1394836529120