Prime p₀= 2658319232179918001 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 46 2

STPT(10)	2658317105570265047	0 2 30 32 42 44 54 56 84 86	-2126609652954
TPT(14)	2658317526090028277	0 2 54 56 114 116 144 146 210 212 222 224 270 272	-1706089889724
STPT(10)	2658318202000417079	0 2 12 14 30 32 48 50 60 62	-1030179500922
SPT(16)	2658318489016498039	0 28 42 54 64 112 120 124 168 172 180 228 238 250 264 292	-743163419962
SPT(16)	2658318844303772851	0 10 22 60 78 88 90 132 166 208 210 220 238 276 288 298	-387876145150
SPT(16)	2658319078353396253	0 64 90 138 258 280 328 330 334 336 384 406 526 574 600 664	-153826521748
STPT(10)	2658319516028636441	0 2 36 38 78 80 120 122 156 158	283848718440
STPT(10)	2658319541825954099	0 2 18 20 30 32 42 44 60 62	309646036098
STPT(10)	2658319627476466739	0 2 30 32 120 122 210 212 240 242	395296548738
SPT(16)	2658319767097586621	0 42 68 72 102 186 222 240 308 326 362 446 476 480 506 548	534917668620
SPT(16)	2658319778105543089	0 28 102 154 172 202 222 270 322 370 390 420 438 490 564 592	545925625088