Prime p₀= 3031706979562150031 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	3031705149511041067	0 72 96 124 150 190 192 210 346 364 366 406 432 460 484 556	-1830051108964
STPT(10)	3031705645927764929	0 2 12 14 30 32 48 50 60 62	-1333634385102
SPT(16)	3031706136411996107	0 12 26 30 50 54 56 96 140 180 182 186 206 210 224 236	-843150153924
STPT(10)	3031706212741291289	0 2 78 80 120 122 162 164 240 242	-766820858742
STPT(10)	3031706624750653151	0 2 30 32 78 80 126 128 156 158	-354811496880
STPT(10)	3031706742449269481	0 2 36 38 78 80 120 122 156 158	-237112880550
STPT(10)	3031707081966944201	0 2 6 8 18 20 30 32 36 38	102404794170
SPT(16)	3031707415068052727	0 54 102 116 140 144 174 186 230 242 272 276 300 314 362 416	435505902696
STPT(10)	3031707520824907607	0 2 42 44 72 74 102 104 144 146	541262757576
SPT(16)	3031707823762571483	0 6 14 18 36 54 56 90 104 138 140 158 176 180 188 194	844200421452
SPT(16)	3031708189553657833	0 6 30 88 90 118 156 214 300 358 396 424 426 484 508 514	1209991507802