Prime p₀= 3091452974112373691 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=83, k=10, 2 4 2 10 2

SPT(16)	3091451465171272549	0 40 48 52 54 78 82 108 124 150 154 178 180 184 192 232	-1508941101142
STPT(10)	3091451907055406537	0 2 24 26 42 44 60 62 84 86	-1067056967154
SPT(16)	3091452269266220953	0 84 88 90 108 120 136 148 156 168 184 196 214 216 220 304	-704846152738
STPT(10)	3091452450499301027	0 2 12 14 42 44 72 74 84 86	-523613072664
SPT(18)	3091452458423192161	0 22 42 78 82 88 100 138 160 168 190 228 240 246 250 286 306 328	-515689181530
SPT(16)	3091452553054508047	0 12 30 34 40 42 54 82 144 172 184 186 192 196 214 226	-421057865644
STPT(10)	3091452998289017207	0 2 24 26 42 44 60 62 84 86	24176643516
STPT(10)	3091453388458498241	0 2 6 8 48 50 90 92 96 98	414346124550
TPT(14)	3091453472572381919	0 2 60 62 72 74 90 92 162 164 168 170 330 332	498460008228
SPT(20)	3091453486600262009	0 30 32 72 78 102 114 120 144 182 270 308 332 338 350 374 380 420 422 452	512487888318
STPT(10)	3091453865368253681	0 2 6 8 18 20 30 32 36 38	891255879990