Prime p₀= 1058121717931276637 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: arkiss
db: batch=76, k=10, 2 58 2 10 2

STPT(10)	1058120812023755279	0 2 48 50 60 62 72 74 120 122	-905907521358
SPT(16)	1058120843512772719	0 4 52 58 60 70 72 82 240 250 252 262 264 270 318 322	-874418503918
STPT(10)	1058121116621883581	0 2 36 38 78 80 120 122 156 158	-601309393056
SPT(16)	1058121441614982863	0 56 74 98 108 114 140 150 164 174 200 206 216 240 258 314	-276316293774
STPT(10)	1058121616851641861	0 2 30 32 78 80 126 128 156 158	-101079634776
STPT(10)	1058121671057179361	0 2 6 8 48 50 90 92 96 98	-46874097276
STPT(10)	1058121954294674411	0 2 6 8 18 20 30 32 36 38	236363397774
SPT(16)	1058121978359106229	0 24 34 52 60 88 100 108 154 162 174 202 210 228 238 262	260427829592
STPT(10)	1058122225933874999	0 2 18 20 60 62 102 104 120 122	508002598362
SPT(16)	1058122456011294431	0 38 50 66 72 98 156 170 198 212 270 296 302 318 330 368	738080017794
STPT(10)	1058122472008095551	0 2 30 32 78 80 126 128 156 158	754076818914