Prime p₀= 798822694005134081 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: [SG-2W]Kurzer
db: batch=73, k=10, 2 4 2 40 2

SPT(16)	798821520536353627	0 10 22 40 52 60 70 102 130 162 172 180 192 210 222 232	-1173468780454
SPT(16)	798821611074822557	0 32 62 66 120 122 146 162 164 180 204 206 260 264 294 326	-1082930311524
TPT(14)	798821647979350997	0 2 72 74 150 152 180 182 234 236 372 374 390 392	-1046025783084
STPT(10)	798821741889024587	0 2 30 32 42 44 54 56 84 86	-952116109494
STPT(12)	798822327233309549	0 2 18 20 30 32 228 230 240 242 258 260	-366771824532
STPT(10)	798822470993201069	0 2 18 20 30 32 42 44 60 62	-223011933012
SPT(16)	798822723709346233	0 16 30 34 36 78 118 120 154 156 196 238 240 244 258 274	29704212152
STPT(10)	798822916850104931	0 2 36 38 78 80 120 122 156 158	222844970850
SPT(16)	798823044364669747	0 34 54 82 106 132 142 150 166 174 184 210 234 262 282 316	350359535666
SPT(16)	798823477838211149	0 24 38 44 102 114 122 134 198 210 218 230 288 294 308 332	783833077068
SPT(16)	798823768553006263	0 36 48 58 88 100 138 168 328 358 396 408 438 448 460 496	1074547872182