Prime p₀= 1033460290331307659 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Theadalus
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1033459415474510263	0 10 40 96 114 126 130 136 144 150 154 166 184 240 270 280	-874856797396
SPT(16)	1033459702944373249	0 10 18 28 42 52 90 112 150 172 210 220 234 244 252 262	-587386934410
SPT(16)	1033459790899549837	0 6 22 52 54 76 96 126 130 160 180 202 204 234 250 256	-499431757822
STPT(10)	1033459956721112519	0 2 18 20 30 32 42 44 60 62	-333610195140
SPT(16)	1033460056814639717	0 32 74 84 104 110 126 146 180 200 216 222 242 252 294 326	-233516667942
SPT(16)	1033460234978971333	0 18 28 30 78 84 100 154 234 288 304 310 358 360 370 388	-55352336326
SPT(16)	1033460504032169819	0 48 60 62 84 92 104 110 162 168 180 188 210 212 224 272	213700862160
STPT(10)	1033460634229311287	0 2 24 26 42 44 60 62 84 86	343898003628
SPT(16)	1033461211463580941	0 6 20 62 98 108 150 152 186 188 230 240 276 318 332 338	921132273282
SPT(16)	1033461689841328001	0 42 60 62 86 90 116 170 228 282 308 312 336 338 356 398	1399510020342
SPT(18)	1033461712190941207	0 6 30 54 70 76 102 172 186 250 264 334 360 366 382 406 430 436	1421859633548