Prime p₀= 2602337554599363401 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: [SG-2W]Kurzer
db: batch=82, k=10, 2 4 2 10 2

STPT(10)	2602336499388685247	0 2 24 26 42 44 60 62 84 86	-1055210678154
SPT(16)	2602336675079201761	0 18 60 70 78 88 112 120 178 186 210 220 228 238 280 298	-879520161640
STPT(10)	2602336790913591341	0 2 30 32 78 80 126 128 156 158	-763685772060
SPT(16)	2602336796129234737	0 66 70 114 144 192 210 216 280 286 304 352 382 426 430 496	-758470128664
SPT(16)	2602336815519818287	0 36 40 102 106 172 180 186 250 256 264 330 334 396 400 436	-739079545114
STPT(10)	2602336827745751231	0 2 36 38 78 80 120 122 156 158	-726853612170
SPT(18)	2602337606576882389	0 4 28 54 88 94 112 180 204 238 262 330 348 354 388 414 438 442	51977518988
SPT(16)	2602338907121259829	0 18 94 120 130 132 154 160 222 228 250 252 262 288 364 382	1352521896428
SPT(16)	2602339785982065401	0 20 32 38 68 90 110 180 200 270 290 312 342 348 360 380	2231382702000
SPT(16)	2602340212895990113	0 16 30 66 70 96 150 154 180 184 238 264 268 304 318 334	2658296626712
STPT(10)	2602341096061469591	0 2 6 8 48 50 90 92 96 98	3541462106190