Prime p₀= 2504237174970760079 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 46 2 40 2

STPT(12)	2504236329509175587	0 2 42 44 60 62 84 86 102 104 144 146	-845461584492
SPT(16)	2504236387707270649	0 10 24 30 42 124 132 142 210 220 228 310 322 328 342 352	-787263489430
SPT(16)	2504236734033206531	0 8 20 36 50 72 86 98 120 132 146 168 182 198 210 218	-440937553548
SPT(16)	2504236778587752199	0 12 40 52 82 90 150 154 228 232 292 300 330 342 370 382	-396383007880
STPT(10)	2504236988973869969	0 2 42 44 120 122 198 200 240 242	-185996890110
SPT(16)	2504237022580871287	0 34 52 72 76 94 132 156 160 184 222 240 244 264 282 316	-152389888792
SPT(16)	2504237654685000433	0 64 96 124 180 196 220 244 366 390 414 430 486 514 546 610	479714240354
STPT(10)	2504237685097906787	0 2 30 32 42 44 54 56 84 86	510127146708
STPT(10)	2504238136167042599	0 2 18 20 30 32 42 44 60 62	961196282520
SPT(16)	2504238551309152607	0 6 32 54 56 92 96 102 134 140 144 180 182 204 230 236	1376338392528
SPT(16)	2504238624206451323	0 36 48 60 74 140 146 210 224 288 294 360 374 386 398 434	1449235691244