Prime p₀= 2767369728373514879 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

STPT(10)	2767368338203319699	0 2 30 32 60 62 90 92 120 122	-1390170195180
SPT(16)	2767368389782701179	0 80 90 102 168 180 222 242 300 320 362 374 440 452 462 542	-1338590813700
STPT(10)	2767368624523836647	0 2 30 32 72 74 114 116 144 146	-1103849678232
STPT(10)	2767368902325885467	0 2 30 32 42 44 54 56 84 86	-826047629412
STPT(10)	2767369423843643777	0 2 30 32 72 74 114 116 144 146	-304529871102
TPT(14)	2767369601957651219	0 2 90 92 102 104 180 182 222 224 270 272 408 410	-126415863660
STPT(10)	2767369939324348619	0 2 48 50 60 62 72 74 120 122	210950833740
SPT(16)	2767370250789424519	0 40 52 54 72 82 100 108 184 192 210 220 238 240 252 292	522415909640
SPT(16)	2767370271410124817	0 34 40 54 66 100 112 150 166 204 216 250 262 276 282 316	543036609938
TPT(14)	2767370314219217141	0 2 66 68 78 80 108 110 120 122 246 248 288 290	585845702262
SPT(16)	2767370397484079911	0 18 58 108 166 238 270 318 340 388 420 492 550 600 640 658	669110565032