Prime p₀= 2030021786075722259 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: JonS
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2030020120584068681	0 48 50 68 80 92 132 168 200 236 276 288 300 318 320 368	-1665491653578
STPT(10)	2030020563719703587	0 2 42 44 132 134 222 224 264 266	-1222356018672
STPT(10)	2030020825607680361	0 2 30 32 78 80 126 128 156 158	-960468041898
SPT(16)	2030021244424052731	0 10 12 52 66 70 76 82 96 102 108 112 126 166 168 178	-541651669528
SPT(16)	2030021333323958563	0 10 28 30 36 58 106 108 196 198 246 268 274 276 294 304	-452751763696
SPT(16)	2030021402931767027	0 60 104 122 132 150 164 230 234 300 314 332 342 360 404 464	-383143955232
STPT(10)	2030021833953817127	0 2 30 32 72 74 114 116 144 146	47878094868
SPT(16)	2030022017031603767	0 32 42 54 60 72 126 144 182 200 254 266 272 284 294 326	230955881508
STPT(10)	2030022075338122937	0 2 30 32 42 44 54 56 84 86	289262400678
SPT(16)	2030022081187285769	0 8 12 48 90 174 210 218 294 302 338 422 464 500 504 512	295111563510
STPT(10)	2030022160363502867	0 2 42 44 72 74 102 104 144 146	374287780608