Prime p₀= 1579388856107801909 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: crashtech
db: batch=78, k=10, 2 16 2 40 2

SPT(13)	1579386055899773887	0 6 36 90 132 192 276 360 420 462 516 546 552	-2800208028022
SPT(16)	1579386347624576833	0 18 40 46 88 94 124 150 154 180 210 216 258 264 286 304	-2508483225076
STPT(10)	1579386496053639149	0 2 30 32 60 62 90 92 120 122	-2360054162760
TPT(14)	1579386580535899559	0 2 12 14 72 74 90 92 132 134 138 140 210 212	-2275571902350
SPT(16)	1579388545436452571	0 36 90 108 116 120 122 126 182 186 188 192 200 218 272 308	-310671349338
SPT(16)	1579388575409145979	0 48 52 108 112 114 118 174 178 234 238 240 244 300 304 352	-280698655930
STPT(10)	1579388914178388347	0 2 60 62 72 74 84 86 144 146	58070586438
STPT(10)	1579389045206042039	0 2 12 14 90 92 168 170 180 182	189098240130
SPT(16)	1579389193484166907	0 6 34 36 72 76 150 154 162 166 240 244 280 282 310 316	337376364998
STPT(12)	1579389383375167379	0 2 12 14 42 44 78 80 108 110 120 122	527267365470
STPT(10)	1579389511830090971	0 2 6 8 48 50 90 92 96 98	655722289062