Prime p₀= 2812975134022471679 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(18)	2812973408060749243	0 18 24 34 60 78 100 118 136 168 186 204 226 244 270 280 286 304	-1725961722436
SPT(16)	2812973592984859279	0 24 28 52 54 100 108 112 180 184 192 238 240 264 268 292	-1541037612400
SPT(16)	2812973788434919981	0 16 40 58 60 88 112 138 190 216 240 268 270 288 312 328	-1345587551698
STPT(10)	2812973798673518561	0 2 6 8 48 50 90 92 96 98	-1335348953118
STPT(10)	2812974664629373337	0 2 30 32 60 62 90 92 120 122	-469393098342
STPT(10)	2812975070397074267	0 2 24 26 42 44 60 62 84 86	-63625397412
STPT(10)	2812975822627860311	0 2 36 38 78 80 120 122 156 158	688605388632
SPT(16)	2812976268390697511	0 6 18 56 86 138 180 182 186 188 230 282 312 350 362 368	1134368225832
SPT(16)	2812976341722740497	0 12 22 40 42 64 72 76 120 124 132 154 156 174 184 196	1207700268818
SPT(16)	2812977025257957557	0 6 20 30 42 44 62 72 74 84 102 104 116 126 140 146	1891235485878
SPT(16)	2812977036456430717	0 42 60 70 142 144 154 220 234 300 310 312 384 394 412 454	1902433959038