Prime p₀= 1412155672410734369 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: Paul
db: batch=78, k=10, 2 16 2 10 2

SPT(16)	1412153689105233281	0 18 62 158 188 236 336 342 356 362 462 510 540 636 680 698	-1983305501088
STPT(10)	1412153978137222289	0 2 12 14 30 32 48 50 60 62	-1694273512080
SPT(16)	1412154128678802241	0 28 40 42 46 78 120 148 150 178 220 252 256 258 270 298	-1543731932128
SPT(16)	1412154602885219327	0 14 24 30 56 72 110 122 144 156 194 210 236 242 252 266	-1069525515042
STPT(10)	1412154737674454831	0 2 36 38 78 80 120 122 156 158	-934736279538
SPT(16)	1412155445353485841	0 78 106 136 150 156 238 246 310 318 400 406 420 450 478 556	-227057248528
STPT(10)	1412155755711986099	0 2 42 44 90 92 138 140 180 182	83301251730
SPT(16)	1412155765251100253	0 18 48 60 66 86 126 140 216 230 270 290 296 308 338 356	92840365884
SPT(16)	1412155784406547457	0 12 14 102 114 120 162 170 186 194 236 242 254 342 344 356	111995813088
STPT(12)	1412155876737401837	0 2 60 62 84 86 240 242 264 266 324 326	204326667468
SPT(16)	1412156053849105141	0 76 90 100 106 126 148 156 250 258 280 300 306 316 330 406	381438370772