Prime p₀= 1028042441102032817 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: stoneageman
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1028041550003866459	0 24 54 88 90 94 118 144 154 180 204 208 210 244 274 298	-891098166358
SPT(16)	1028041628342549869	0 10 60 94 100 112 130 142 180 192 210 222 228 262 312 322	-812759482948
SPT(16)	1028041858630946617	0 6 12 52 66 90 100 112 204 216 226 250 264 304 310 316	-582471086200
STPT(10)	1028041980389125781	0 2 30 32 78 80 126 128 156 158	-460712907036
STPT(10)	1028042173294453517	0 2 54 56 72 74 90 92 144 146	-267807579300
SPT(16)	1028042245973504129	0 14 18 54 84 110 158 168 320 330 378 404 434 470 474 488	-195128528688
STPT(10)	1028042595076465601	0 2 6 8 48 50 90 92 96 98	153974432784
SPT(16)	1028042663958482833	0 30 58 96 174 190 220 226 258 264 294 310 388 426 454 484	222856450016
SPT(16)	1028043541992255973	0 6 46 64 70 88 114 126 148 160 186 204 210 228 268 274	1100890223156
TPT(14)	1028043562734399929	0 2 168 170 198 200 222 224 252 254 282 284 300 302	1121632367112
SPT(16)	1028043638475537011	0 12 30 38 42 72 122 132 188 198 248 278 282 290 308 320	1197373504194