Prime p₀= 2667620403599156849 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

TPT(14)	2667618271978553057	0 2 24 26 90 92 150 152 204 206 222 224 264 266	-2131620603792
STPT(10)	2667618352520973749	0 2 18 20 30 32 42 44 60 62	-2051078183100
STPT(10)	2667618663883927079	0 2 18 20 30 32 42 44 60 62	-1739715229770
SPT(16)	2667618840050330899	0 42 54 78 120 124 130 132 160 162 168 172 214 238 250 292	-1563548825950
TPT(14)	2667619595516304797	0 2 42 44 84 86 90 92 132 134 144 146 210 212	-808082852052
STPT(10)	2667620147850247691	0 2 6 8 48 50 90 92 96 98	-255748909158
STPT(10)	2667620419751629169	0 2 42 44 60 62 78 80 120 122	16152472320
SPT(16)	2667620439121528391	0 78 86 90 92 98 132 156 272 296 330 336 338 342 350 428	35522371542
STPT(10)	2667620476422306701	0 2 6 8 18 20 30 32 36 38	72823149852
SPT(16)	2667620823074080301	0 8 68 86 152 162 168 180 278 290 296 306 372 390 450 458	419474923452
SPT(16)	2667621160417501217	0 20 62 72 86 90 96 146 150 200 206 210 224 234 276 296	756818344368