Prime p₀= 2146268236837205027 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: Landjunge
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2146267329333888287	0 2 60 62 140 150 170 182 192 204 224 234 312 314 372 374	-907503316740
SPT(16)	2146267585224001249	0 30 70 90 124 142 150 190 252 292 300 318 352 372 412 442	-651613203778
SPT(16)	2146267809206941517	0 32 60 66 86 122 164 174 182 192 234 270 290 296 324 356	-427630263510
STPT(10)	2146267912720560449	0 2 18 20 30 32 42 44 60 62	-324116644578
STPT(10)	2146268076237571409	0 2 12 14 90 92 168 170 180 182	-160599633618
SPT(16)	2146268127481656907	0 36 66 70 82 100 112 120 172 180 192 210 222 226 256 292	-109355548120
STPT(10)	2146268411528725577	0 2 30 32 60 62 90 92 120 122	174691520550
STPT(10)	2146268651482353647	0 2 30 32 42 44 54 56 84 86	414645148620
STPT(10)	2146268780310874361	0 2 6 8 18 20 30 32 36 38	543473669334
STPT(10)	2146269804344186567	0 2 54 56 72 74 90 92 144 146	1567506981540
SPT(16)	2146270205401490507	0 36 42 56 86 92 126 146 150 170 204 210 240 254 260 296	1968564285480