Prime p₀= 1258142446088362589 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: HenkM
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1258140560362852289	0 2 12 14 30 32 48 50 60 62	-1885725510300
SPT(16)	1258140771084652421	0 30 38 72 92 102 110 116 162 168 176 186 206 240 248 278	-1675003710168
SPT(16)	1258141289740740007	0 42 70 82 100 142 166 172 234 240 264 306 324 336 364 406	-1156347622582
SPT(16)	1258141723366658357	0 2 24 30 42 44 54 120 296 362 372 374 386 392 414 416	-722721704232
SPT(16)	1258141786526366431	0 42 48 72 88 130 156 160 198 202 228 270 286 310 316 358	-659561996158
STPT(10)	1258142313855091937	0 2 24 26 42 44 60 62 84 86	-132233270652
STPT(10)	1258142475516158669	0 2 48 50 90 92 132 134 180 182	29427796080
TPT(14)	1258142709724875587	0 2 42 44 72 74 90 92 252 254 264 266 420 422	263636512998
SPT(16)	1258142795076789781	0 18 22 66 78 96 102 136 162 196 202 220 232 276 280 298	348988427192
SPT(16)	1258142956926427961	0 2 20 42 60 72 90 110 162 182 200 212 230 252 270 272	510838065372
SPT(16)	1258143212332890931	0 12 76 78 90 112 120 126 172 178 186 208 220 222 286 298	766244528342