Prime p₀= 2712467504879903759 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2712466023768961717	0 4 34 66 70 76 102 124 132 154 180 186 190 222 252 256	-1481110942042
STPT(10)	2712466165642316519	0 2 18 20 60 62 102 104 120 122	-1339237587240
SPT(16)	2712466229362179827	0 26 36 42 84 102 140 162 164 186 224 242 284 290 300 326	-1275517723932
SPT(16)	2712466310626845497	0 6 50 60 96 134 156 174 182 200 222 260 296 306 350 356	-1194253058262
STPT(10)	2712466562793298979	0 2 48 50 90 92 132 134 180 182	-942086604780
STPT(10)	2712466796350862981	0 2 78 80 108 110 138 140 216 218	-708529040778
SPT(16)	2712467606242684711	0 16 18 66 70 120 148 208 210 270 298 348 352 400 402 418	101362780952
SPT(16)	2712467864752628729	0 42 50 54 80 104 108 120 152 164 168 192 218 222 230 272	359872724970
TPT(14)	2712468203150936801	0 2 6 8 30 32 96 98 138 140 180 182 258 260	698271033042
STPT(10)	2712468375816626417	0 2 12 14 42 44 72 74 84 86	870936722658
SPT(16)	2712468784194893533	0 18 28 54 66 138 160 186 238 264 286 358 370 396 406 424	1279314989774