Prime p₀= 2867042621181786347 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: [SG]ATA-Rolf
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2867040300659946031	0 52 60 66 90 102 118 130 168 180 196 208 232 238 246 298	-2320521840316
SPT(16)	2867041040706962699	0 30 60 62 68 132 138 144 308 314 320 384 390 392 422 452	-1580474823648
SPT(16)	2867041146681519671	0 68 78 80 90 138 152 182 216 246 260 308 318 320 330 398	-1474500266676
SPT(16)	2867041216684103399	0 24 42 54 122 140 152 182 300 330 342 360 428 440 458 482	-1404497682948
SPT(16)	2867041477249071389	0 38 42 72 80 168 180 182 210 212 224 312 320 350 354 392	-1143932714958
STPT(10)	2867041885557407147	0 2 42 44 72 74 102 104 144 146	-735624379200
STPT(10)	2867042836888583789	0 2 18 20 60 62 102 104 120 122	215706797442
STPT(10)	2867042881783621529	0 2 18 20 30 32 42 44 60 62	260601835182
SPT(16)	2867042943812432443	0 6 10 18 58 66 88 114 130 156 178 186 226 234 238 244	322630646096
SPT(16)	2867043026084104741	0 18 60 82 108 130 132 180 208 256 258 280 306 328 370 388	404902318394
STPT(10)	2867043039310993391	0 2 36 38 78 80 120 122 156 158	418129207044