Prime p₀= 775667199782639807 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG]FX
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	775666126989025969	0 12 42 88 124 130 132 138 154 160 162 168 204 250 280 292	-1072793613838
STPT(10)	775666134197691227	0 2 72 74 162 164 252 254 324 326	-1065584948580
SPT(16)	775666170975376013	0 20 54 78 98 138 144 194 204 254 260 300 320 344 378 398	-1028807263794
SPT(16)	775666708353370661	0 6 50 72 80 86 102 132 200 230 246 252 260 282 326 332	-491429269146
STPT(10)	775667010434836601	0 2 6 8 48 50 90 92 96 98	-189347803206
STPT(10)	775667054276525231	0 2 6 8 18 20 30 32 36 38	-145506114576
STPT(10)	775667377320513497	0 2 30 32 42 44 54 56 84 86	177537873690
SPT(16)	775667559658069513	0 18 64 78 94 136 138 144 190 196 198 240 256 270 316 334	359875429706
SPT(16)	775668175189777231	0 22 36 46 52 70 76 82 90 96 102 120 126 136 150 172	975407137424
STPT(10)	775668184512422819	0 2 48 50 60 62 72 74 120 122	984729783012
SPT(16)	775668527639166137	0 14 60 114 116 126 152 162 194 204 230 240 242 296 342 356	1327856526330