Prime p₀= 2021040943431304409 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: Orange Kid
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2021039880550369031	0 8 12 30 78 80 92 96 152 156 168 170 218 236 240 248	-1062880935378
SPT(16)	2021039960881111063	0 48 66 126 150 160 186 208 216 238 264 274 298 358 376 424	-982550193346
SPT(16)	2021040043603605319	0 12 52 58 78 84 88 130 162 204 208 214 234 240 280 292	-899827699090
SPT(16)	2021040091846417711	0 28 60 70 76 130 132 136 192 196 198 252 258 268 300 328	-851584886698
SPT(16)	2021040582724391003	0 14 156 158 168 278 294 306 398 410 426 536 546 548 690 704	-360706913406
STPT(10)	2021040905036708369	0 2 12 14 90 92 168 170 180 182	-38394596040
TPT(14)	2021041019394633107	0 2 42 44 54 56 144 146 180 182 240 242 264 266	75963328698
TPT(14)	2021041281240302351	0 2 120 122 198 200 216 218 246 248 330 332 468 470	337808997942
SPT(16)	2021041370058301403	0 36 96 116 158 168 180 186 218 224 236 246 288 308 368 404	426626996994
STPT(10)	2021041442627874377	0 2 12 14 42 44 72 74 84 86	499196569968
SPT(16)	2021041567442138677	0 42 46 52 72 102 106 130 132 156 160 190 210 216 220 262	624010834268