Prime p₀= 1033311287880533507 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: stoneageman
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1033310405346433153	0 10 16 18 76 136 148 150 154 156 168 228 286 288 294 304	-882534100354
SPT(16)	1033310416583559797	0 14 36 50 96 174 176 204 272 300 302 380 426 440 462 476	-871296973710
STPT(10)	1033310465143237997	0 2 60 62 72 74 84 86 144 146	-822737295510
SPT(16)	1033310856520902889	0 24 88 114 124 130 132 172 180 220 222 228 238 264 328 352	-431359630618
SPT(16)	1033311144696390709	0 24 78 88 90 94 100 130 132 162 168 172 174 184 238 262	-143184142798
STPT(10)	1033311246280621337	0 2 30 32 42 44 54 56 84 86	-41599912170
SPT(16)	1033311937738244447	0 30 56 86 96 110 194 206 294 306 390 404 414 444 470 500	649857710940
STPT(10)	1033312152538415777	0 2 24 26 42 44 60 62 84 86	864657882270
SPT(16)	1033312387821573107	0 26 30 140 152 176 182 216 296 330 336 360 372 482 486 512	1099941039600
SPT(16)	1033312425220446473	0 114 116 168 170 180 204 246 278 320 344 354 356 408 410 524	1137339912966
STPT(10)	1033312437795480107	0 2 42 44 72 74 102 104 144 146	1149914946600