Prime p₀= 3031706212741291289 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: pag
db: batch=82, k=10, 2 76 2 40 2

SPT(16)	3031704107357906077	0 4 6 16 30 70 76 84 172 180 186 226 240 250 252 256	-2105383385212
SPT(16)	3031704274567882877	0 56 60 62 96 126 204 210 236 242 320 350 384 386 390 446	-1938173408412
STPT(10)	3031704690222141119	0 2 18 20 30 32 42 44 60 62	-1522519150170
SPT(16)	3031705149511041067	0 72 96 124 150 190 192 210 346 364 366 406 432 460 484 556	-1063230250222
STPT(10)	3031705645927764929	0 2 12 14 30 32 48 50 60 62	-566813526360
SPT(16)	3031706136411996107	0 12 26 30 50 54 56 96 140 180 182 186 206 210 224 236	-76329295182
STPT(10)	3031706624750653151	0 2 30 32 78 80 126 128 156 158	412009361862
STPT(10)	3031706742449269481	0 2 36 38 78 80 120 122 156 158	529707978192
STPT(10)	3031706979562150031	0 2 6 8 18 20 30 32 36 38	766820858742
STPT(10)	3031707081966944201	0 2 6 8 18 20 30 32 36 38	869225652912
SPT(16)	3031707415068052727	0 54 102 116 140 144 174 186 230 242 272 276 300 314 362 416	1202326761438