Prime p₀= 3030432370646222429 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=82, k=10, 2 16 2 10 2

SPT(16)	3030431394681153979	0 22 42 64 120 130 150 202 222 274 294 304 360 382 402 424	-975965068450
STPT(10)	3030431430284161661	0 2 6 8 18 20 30 32 36 38	-940362060768
STPT(10)	3030431634384820871	0 2 6 8 18 20 30 32 36 38	-736261401558
SPT(16)	3030432028544888287	0 6 34 40 52 66 106 124 132 150 190 204 216 222 250 256	-342101334142
SPT(16)	3030432122099882551	0 42 60 100 130 150 168 190 198 220 238 258 288 328 346 388	-248546339878
SPT(16)	3030432287075421619	0 18 52 58 70 84 88 172 180 264 268 282 294 300 334 352	-83570800810
SPT(16)	3030432660843081931	0 6 16 40 72 82 108 208 210 310 336 346 378 402 412 418	290196859502
SPT(16)	3030432661084733543	0 18 60 66 116 158 210 216 308 314 366 408 458 464 506 524	290438511114
STPT(10)	3030432968993431667	0 2 30 32 42 44 54 56 84 86	598347209238
STPT(10)	3030433128240498047	0 2 12 14 42 44 72 74 84 86	757594275618
SPT(16)	3030433625712877793	0 44 48 84 110 120 138 164 180 206 224 234 260 296 300 344	1255066655364