Prime p₀= 826034647542845561 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: GLeeM
db: batch=73, k=10, 2 4 2 10 2

SPT(16)	826033806013865773	0 4 10 60 150 168 184 216 298 330 346 364 454 504 510 514	-841528979788
TPT(14)	826034441458894901	0 2 36 38 78 80 120 122 126 128 210 212 228 230	-206083950660
STPT(10)	826034491179067109	0 2 42 44 60 62 78 80 120 122	-156363778452
SPT(16)	826034582520518951	0 38 56 68 98 108 116 140 156 180 188 198 228 240 258 296	-65022326610
STPT(10)	826034631152413391	0 2 36 38 78 80 120 122 156 158	-16390432170
SPT(16)	826034636749495717	0 4 42 64 76 90 120 124 252 256 286 300 312 334 372 376	-10793349844
SPT(16)	826034674471364041	0 6 10 48 52 60 120 126 172 178 238 246 250 288 292 298	26928518480
STPT(10)	826034854295732831	0 2 36 38 78 80 120 122 156 158	206752887270
STPT(10)	826034933393737367	0 2 24 26 42 44 60 62 84 86	285850891806
SPT(16)	826035095214625619	0 12 24 68 98 110 120 180 182 242 252 264 294 338 350 362	447671780058
SPT(16)	826035216578737471	0 22 42 70 82 96 108 138 160 190 202 216 228 256 276 298	569035891910