Prime p₀= 826034933393737367 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: GLeeM
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	826034582520518951	0 38 56 68 98 108 116 140 156 180 188 198 228 240 258 296	-350873218416
STPT(10)	826034631152413391	0 2 36 38 78 80 120 122 156 158	-302241323976
SPT(16)	826034636749495717	0 4 42 64 76 90 120 124 252 256 286 300 312 334 372 376	-296644241650
STPT(10)	826034647542845561	0 2 6 8 18 20 30 32 36 38	-285850891806
SPT(16)	826034674471364041	0 6 10 48 52 60 120 126 172 178 238 246 250 288 292 298	-258922373326
STPT(10)	826034854295732831	0 2 36 38 78 80 120 122 156 158	-79098004536
SPT(16)	826035095214625619	0 12 24 68 98 110 120 180 182 242 252 264 294 338 350 362	161820888252
SPT(16)	826035216578737471	0 22 42 70 82 96 108 138 160 190 202 216 228 256 276 298	283185000104
SPT(16)	826035302820249383	0 8 26 30 60 98 116 176 228 288 306 344 374 378 396 404	369426512016
STPT(10)	826035450515348807	0 2 24 26 42 44 60 62 84 86	517121611440
STPT(10)	826035560113893551	0 2 36 38 78 80 120 122 156 158	626720156184