Prime p₀= 3034547995132864097 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG]ATA-Rolf
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	3034545544783955117	0 2 24 26 42 44 60 62 84 86	-2450348908980
SPT(16)	3034546011032018687	0 14 50 80 84 120 122 140 144 162 164 200 204 234 270 284	-1984100845410
SPT(16)	3034546489857185557	0 22 36 46 52 60 106 112 144 150 196 204 210 220 234 256	-1505275678540
SPT(16)	3034546865391567457	0 22 46 54 72 96 100 112 114 126 130 154 172 180 204 226	-1129741296640
SPT(16)	3034547673691459823	0 6 20 56 84 104 128 144 170 186 210 230 258 294 308 314	-321441404274
TPT(14)	3034547873958870569	0 2 60 62 198 200 240 242 318 320 390 392 408 410	-121173993528
SPT(16)	3034548547425392663	0 8 26 30 78 84 86 96 98 108 110 116 164 168 186 194	552292528566
STPT(10)	3034548826814781737	0 2 24 26 42 44 60 62 84 86	831681917640
SPT(16)	3034549098475188139	0 18 42 60 82 108 138 150 172 184 214 240 262 280 304 322	1103342324042
SPT(16)	3034549200845496281	0 30 36 72 126 128 132 140 198 206 210 212 266 302 308 338	1205712632184
SPT(16)	3034549324594916827	0 6 10 24 30 34 54 76 90 112 132 136 142 156 160 166	1329462052730