Prime p₀= 2589167658204792167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2589165876675614567	0 2 60 62 102 104 144 146 204 206	-1781529177600
TPT(14)	2589166170780607211	0 2 6 8 120 122 180 182 288 290 300 302 318 320	-1487424184956
TPT(14)	2589166835537853029	0 2 18 20 30 32 42 44 90 92 180 182 270 272	-822666939138
SPT(16)	2589166934365996471	0 16 70 102 106 112 130 138 190 198 216 222 226 258 312 328	-723838795696
SPT(16)	2589166993254271121	0 6 20 30 42 60 116 126 146 156 212 230 242 252 266 272	-664950521046
STPT(10)	2589167108827545677	0 2 54 56 72 74 90 92 144 146	-549377246490
SPT(16)	2589167690080766029	0 28 78 120 160 162 190 204 208 222 250 252 292 334 384 412	31875973862
SPT(16)	2589167697554267201	0 12 36 38 60 108 152 186 242 276 320 368 390 392 416 428	39349475034
SPT(16)	2589167728495136941	0 40 52 126 138 150 166 168 190 192 208 220 232 306 318 358	70290344774
SPT(16)	2589167991445825021	0 22 30 58 70 100 108 130 168 190 198 228 240 268 276 298	333241032854
TPT(14)	2589168273707560421	0 2 30 32 186 188 246 248 258 260 288 290 336 338	615502768254