Prime p₀= 1049123929282420109 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: stoneageman
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1049121599190945347	0 12 26 30 56 62 72 96 176 200 210 216 242 246 260 272	-2330091474762
STPT(10)	1049121801419698187	0 2 30 32 42 44 54 56 84 86	-2127862721922
TPT(14)	1049122441626031889	0 2 30 32 42 44 48 50 180 182 198 200 282 284	-1487656388220
TPT(14)	1049123467981361189	0 2 198 200 240 242 420 422 438 440 468 470 522 524	-461301058920
SPT(16)	1049123535645562787	0 14 50 72 144 156 170 174 182 186 200 212 284 306 342 356	-393636857322
SPT(16)	1049123851924847563	0 16 28 30 78 118 130 198 256 324 336 376 424 426 438 454	-77357572546
TPT(14)	1049123995509559811	0 2 6 8 30 32 78 80 90 92 186 188 216 218	66227139702
TPT(14)	1049124036102438089	0 2 78 80 120 122 132 134 162 164 180 182 222 224	106820017980
SPT(16)	1049124076652865079	0 18 28 54 88 100 114 130 138 154 168 180 214 240 250 268	147370444970
STPT(10)	1049124161903605607	0 2 30 32 42 44 54 56 84 86	232621185498
SPT(16)	1049124635095372631	0 12 26 80 96 138 162 182 186 206 230 272 288 342 356 368	705812952522