Prime p₀= 1579389045206042039 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: crashtech
db: batch=78, k=10, 2 10 2 76 2

STPT(10)	1579386496053639149	0 2 30 32 60 62 90 92 120 122	-2549152402890
TPT(14)	1579386580535899559	0 2 12 14 72 74 90 92 132 134 138 140 210 212	-2464670142480
SPT(16)	1579388545436452571	0 36 90 108 116 120 122 126 182 186 188 192 200 218 272 308	-499769589468
SPT(16)	1579388575409145979	0 48 52 108 112 114 118 174 178 234 238 240 244 300 304 352	-469796896060
STPT(10)	1579388856107801909	0 2 18 20 60 62 102 104 120 122	-189098240130
STPT(10)	1579388914178388347	0 2 60 62 72 74 84 86 144 146	-131027653692
SPT(16)	1579389193484166907	0 6 34 36 72 76 150 154 162 166 240 244 280 282 310 316	148278124868
STPT(12)	1579389383375167379	0 2 12 14 42 44 78 80 108 110 120 122	338169125340
STPT(10)	1579389511830090971	0 2 6 8 48 50 90 92 96 98	466624048932
SPT(16)	1579389819681940769	0 2 18 32 44 62 68 98 144 174 180 198 210 224 240 242	774475898730
SPT(16)	1579390003700582971	0 6 102 106 130 190 192 216 232 256 258 318 342 346 442 448	958494540932