Prime p₀= 2048166012850516121 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: Landjunge
db: batch=80, k=10, 2 64 2 70 2

SPT(16)	2048164133732553997	0 12 40 70 136 150 186 210 226 250 286 300 366 396 424 436	-1879117962124
STPT(10)	2048164285111836251	0 2 6 8 48 50 90 92 96 98	-1727738679870
SPT(16)	2048164439033228419	0 28 40 52 72 82 100 102 148 150 168 178 198 210 222 250	-1573817287702
SPT(16)	2048164495543729769	0 38 42 48 50 78 98 122 180 204 224 252 254 260 264 302	-1517306786352
TPT(14)	2048165342218532519	0 2 48 50 78 80 108 110 162 164 168 170 210 212	-670631983602
SPT(16)	2048165654708323313	0 20 50 60 86 140 168 258 326 416 444 498 524 534 564 584	-358142192808
STPT(10)	2048166041152259261	0 2 36 38 78 80 120 122 156 158	28301743140
SPT(16)	2048166211977553757	0 42 66 110 122 134 144 152 174 182 192 204 216 260 284 326	199127037636
SPT(16)	2048167122613609223	0 18 24 36 74 108 116 134 150 168 176 210 248 260 266 284	1109763093102
STPT(10)	2048167273349102429	0 2 18 20 30 32 42 44 60 62	1260498586308
STPT(10)	2048167386249324251	0 2 6 8 18 20 30 32 36 38	1373398808130