Prime p₀= 2816129477192583047 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2816128475240521201	0 10 60 76 88 120 132 138 160 166 178 210 222 238 288 298	-1001952061846
SPT(18)	2816128493379654671	0 12 36 66 78 80 86 108 122 126 140 162 168 170 182 212 236 248	-983812928376
STPT(10)	2816128828044763241	0 2 6 8 48 50 90 92 96 98	-649147819806
SPT(16)	2816129291900284067	0 2 26 30 36 50 80 96 140 156 186 200 206 210 234 236	-185292298980
STPT(10)	2816129325195269957	0 2 30 32 42 44 54 56 84 86	-151997313090
STPT(10)	2816129447000275961	0 2 36 38 78 80 120 122 156 158	-30192307086
SPT(16)	2816129724130062467	0 26 44 50 96 114 116 140 156 180 182 200 246 252 270 296	246937479420
SPT(16)	2816129755635999161	0 78 80 90 98 150 156 188 228 260 266 318 326 336 338 416	278443416114
STPT(10)	2816129796618537197	0 2 30 32 42 44 54 56 84 86	319425954150
SPT(16)	2816129801738459599	0 12 28 54 64 72 130 144 148 162 220 228 238 264 280 292	324545876552
STPT(10)	2816130245118748067	0 2 42 44 72 74 102 104 144 146	767926165020