Prime p₀= 2251630390351073117 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: Landjunge
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2251629180613283017	0 4 16 54 66 96 126 136 144 154 184 214 226 264 276 280	-1209737790100
SPT(16)	2251629638599146283	0 4 10 48 64 66 70 76 78 84 88 90 106 144 150 154	-751751926834
STPT(10)	2251629759640640549	0 2 18 20 30 32 42 44 60 62	-630710432568
SPT(16)	2251629972792875239	0 4 28 34 48 64 70 78 130 138 144 160 174 180 204 208	-417558197878
SPT(16)	2251630243495225907	0 6 56 90 114 116 144 156 200 212 240 242 266 300 350 356	-146855847210
STPT(10)	2251630386740171537	0 2 42 44 72 74 102 104 144 146	-3610901580
STPT(10)	2251630665604811717	0 2 30 32 72 74 114 116 144 146	275253738600
STPT(10)	2251630712502404687	0 2 24 26 42 44 60 62 84 86	322151331570
SPT(16)	2251630903857626869	0 40 58 84 90 112 118 142 180 204 210 232 238 264 282 322	513506553752
STPT(10)	2251631166490754591	0 2 6 8 48 50 90 92 96 98	776139681474
SPT(16)	2251631481678035161	0 12 40 42 60 66 82 112 150 180 196 202 220 222 250 262	1091326962044