Prime p₀= 2591432904852567071 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=82, k=10, 2 4 2 10 2

SPT(16)	2591431128379092911	0 20 32 66 72 80 90 156 176 242 252 260 266 300 312 332	-1776473474160
STPT(10)	2591431288929009251	0 2 6 8 48 50 90 92 96 98	-1615923557820
SPT(16)	2591431297790185987	0 16 34 70 96 112 120 184 222 286 294 310 336 372 390 406	-1607062381084
SPT(16)	2591432574081388979	0 8 18 30 42 62 78 128 132 182 198 218 230 242 252 260	-330771178092
SPT(16)	2591432767128243263	0 8 18 44 68 96 98 114 140 156 158 186 210 236 246 254	-137724323808
STPT(10)	2591432847894320489	0 2 42 44 90 92 138 140 180 182	-56958246582
SPT(16)	2591433530784687703	0 4 10 24 28 36 58 100 114 156 178 186 190 204 210 214	625932120632
SPT(16)	2591433665464985959	0 4 48 60 148 172 192 210 322 340 360 384 472 484 528 532	760612418888
SPT(16)	2591433699294618877	0 6 40 70 72 90 142 160 216 234 286 304 306 336 370 376	794442051806
STPT(12)	2591433771329849837	0 2 42 44 54 56 210 212 222 224 264 266	866477282766
SPT(16)	2591433900731561359	0 34 52 90 102 108 112 132 190 210 214 220 232 270 288 322	995878994288