Prime p₀= 2029122033115093067 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: 266
Found by: Landjunge
db: batch=80, k=10, 2 82 2 46 2

TPT(14)	2029121152258242347	0 2 30 32 90 92 222 224 282 284 324 326 450 452	-880856850720
SPT(16)	2029121156345173663	0 10 24 48 58 174 210 216 328 334 370 486 496 520 534 544	-876769919404
SPT(16)	2029121483802384701	0 8 20 36 38 48 78 122 126 170 200 210 212 228 240 248	-549312708366
STPT(10)	2029121653886703161	0 2 36 38 78 80 120 122 156 158	-379228389906
SPT(16)	2029121741180682209	0 14 20 62 78 90 92 120 122 150 152 164 180 222 228 242	-291934410858
STPT(10)	2029121834432541377	0 2 60 62 72 74 84 86 144 146	-198682551690
TPT(14)	2029122517764163397	0 2 42 44 132 134 174 176 210 212 252 254 270 272	484649070330
STPT(10)	2029122791512353767	0 2 24 26 42 44 60 62 84 86	758397260700
SPT(16)	2029122792619553731	0 60 126 132 156 162 168 172 216 220 226 232 256 262 328 388	759504460664
SPT(16)	2029122813800662589	0 8 14 38 44 50 72 92 150 170 192 198 204 228 234 242	780685569522
STPT(10)	2029122859772734511	0 2 36 38 78 80 120 122 156 158	826657641444