Prime p₀= 2016728186714280887 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Landjunge
db: batch=80, k=10, 2 10 2 28 2

TPT(14)	2016726340501452947	0 2 12 14 54 56 120 122 132 134 204 206 234 236	-1846212827940
STPT(10)	2016726364021579121	0 2 6 8 18 20 30 32 36 38	-1822692701766
STPT(10)	2016727430636494139	0 2 48 50 90 92 132 134 180 182	-756077786748
TPT(14)	2016727665388312871	0 2 36 38 150 152 198 200 306 308 360 362 366 368	-521325968016
SPT(16)	2016727696547152231	0 10 12 48 60 70 102 132 178 208 240 250 262 298 300 310	-490167128656
SPT(16)	2016727733343612017	0 26 32 54 72 80 84 92 144 152 156 164 182 204 210 236	-453370668870
SPT(16)	2016728615555284879	0 40 108 118 124 150 154 174 184 204 208 234 240 250 318 358	428841003992
SPT(16)	2016728620444531157	0 24 26 54 66 72 80 86 120 126 134 140 152 180 182 206	433730250270
TPT(14)	2016729528473830127	0 2 24 26 42 44 84 86 150 152 222 224 234 236	1341759549240
SPT(16)	2016729627196714643	0 24 26 38 68 110 134 146 168 180 204 246 276 288 290 314	1440482433756
SPT(16)	2016729696939197311	0 10 16 42 66 102 108 130 168 190 196 232 256 282 288 298	1510224916424