Prime p₀= 2115013609999933829 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: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2115011525343084961	0 10 42 60 66 102 106 112 126 132 136 172 178 196 228 238	-2084656848868
STPT(10)	2115011777185029221	0 2 36 38 78 80 120 122 156 158	-1832814904608
SPT(16)	2115011791421255869	0 70 72 90 102 114 120 130 132 142 148 160 172 190 192 262	-1818578677960
SPT(16)	2115012571654119097	0 16 36 60 64 70 76 90 100 114 120 126 130 154 174 190	-1038345814732
SPT(16)	2115012890862469673	0 36 84 98 104 110 158 188 216 246 294 300 306 320 368 404	-719137464156
SPT(16)	2115012992998269787	0 10 16 42 52 82 120 126 190 196 234 264 274 300 306 316	-617001664042
STPT(10)	2115013725828793841	0 2 6 8 18 20 30 32 36 38	115828860012
SPT(16)	2115013893716987729	0 30 44 74 90 168 188 222 230 264 284 362 378 408 422 452	283717053900
SPT(13)	2115013983629850463	0 6 24 84 114 144 150 156 186 216 276 294 300	373629916634
STPT(10)	2115014377094404517	0 2 30 32 42 44 54 56 84 86	767094470688
STPT(10)	2115014441464728899	0 2 18 20 30 32 42 44 60 62	831464795070