Prime p₀= 1025559344500515989 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: HenkM
db: batch=76, k=10, 2 46 2 40 2

SPT(16)	1025558362702556257	0 12 40 42 124 130 144 210 226 292 306 312 394 396 424 436	-981797959732
SPT(16)	1025558372770749329	0 2 74 78 80 150 152 168 194 210 212 282 284 288 360 362	-971729766660
SPT(16)	1025558501241363491	0 2 6 8 62 72 80 108 110 138 146 156 210 212 216 218	-843259152498
STPT(10)	1025558598536429999	0 2 18 20 30 32 42 44 60 62	-745964085990
SPT(16)	1025558725484688931	0 16 30 40 48 70 112 126 172 186 228 250 258 268 282 298	-619015827058
STPT(10)	1025558961687570377	0 2 60 62 72 74 84 86 144 146	-382812945612
TPT(14)	1025559750912227537	0 2 84 86 144 146 360 362 444 446 450 452 492 494	406411711548
STPT(10)	1025559775047342551	0 2 30 32 78 80 126 128 156 158	430546826562
SPT(16)	1025559894220889143	0 6 18 46 64 78 114 120 124 130 166 180 198 226 238 244	549720373154
SPT(16)	1025560238438952929	0 20 48 72 128 144 164 174 248 258 278 294 350 374 402 422	893938436940
STPT(10)	1025560582815149201	0 2 6 8 18 20 30 32 36 38	1238314633212