Prime p₀= 1251417781420231037 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: mikey
db: batch=77, k=10, 2 28 2 10 2

TPT(14)	1251416388810025421	0 2 18 20 90 92 96 98 156 158 216 218 240 242	-1392610205616
STPT(10)	1251416975739547319	0 2 138 140 150 152 162 164 300 302	-805680683718
SPT(16)	1251417363267157111	0 6 18 48 70 106 120 138 148 166 180 216 238 268 280 286	-418153073926
STPT(10)	1251417383601705557	0 2 30 32 42 44 54 56 84 86	-397818525480
SPT(16)	1251417695143174631	0 36 42 50 62 72 80 90 242 252 260 270 282 290 296 332	-86277056406
SPT(16)	1251417714806024603	0 24 26 66 68 78 120 134 210 224 266 276 278 318 320 344	-66614206434
STPT(10)	1251418015212202889	0 2 42 44 60 62 78 80 120 122	233791971852
TPT(14)	1251418138049348219	0 2 30 32 42 44 150 152 192 194 210 212 240 242	356629117182
STPT(12)	1251418428402782357	0 2 12 14 54 56 90 92 132 134 144 146	646982551320
SPT(20)	1251418645374341309	0 48 60 62 92 98 158 188 192 194 258 260 264 294 354 360 390 392 404 452	863954110272
SPT(16)	1251418645950770347	0 24 52 84 94 102 124 130 144 150 172 180 190 222 250 274	864530539310