Prime p₀= 2030022075338122937 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: JonS
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2030021244424052731	0 10 12 52 66 70 76 82 96 102 108 112 126 166 168 178	-830914070206
SPT(16)	2030021333323958563	0 10 28 30 36 58 106 108 196 198 246 268 274 276 294 304	-742014164374
SPT(16)	2030021402931767027	0 60 104 122 132 150 164 230 234 300 314 332 342 360 404 464	-672406355910
STPT(10)	2030021786075722259	0 2 18 20 30 32 42 44 60 62	-289262400678
STPT(10)	2030021833953817127	0 2 30 32 72 74 114 116 144 146	-241384305810
SPT(16)	2030022017031603767	0 32 42 54 60 72 126 144 182 200 254 266 272 284 294 326	-58306519170
SPT(16)	2030022081187285769	0 8 12 48 90 174 210 218 294 302 338 422 464 500 504 512	5849162832
STPT(10)	2030022160363502867	0 2 42 44 72 74 102 104 144 146	85025379930
STPT(10)	2030022395534361491	0 2 6 8 48 50 90 92 96 98	320196238554
SPT(16)	2030022459328049267	0 6 20 50 72 102 116 126 146 156 170 200 222 252 266 272	383989926330
SPT(16)	2030022530941909727	0 6 14 26 44 54 62 80 216 234 242 252 270 282 290 296	455603786790