Prime p₀= 2046807995448556127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 10 2 58 2

STPT(10)	2046805996971833327	0 2 24 26 42 44 60 62 84 86	-1998476722800
TPT(14)	2046806077724539739	0 2 108 110 150 152 192 194 240 242 252 254 282 284	-1917724016388
SPT(16)	2046806347482608801	0 42 66 108 146 152 168 176 192 200 216 222 260 302 326 368	-1647965947326
STPT(10)	2046806396590754957	0 2 54 56 72 74 90 92 144 146	-1598857801170
STPT(10)	2046806720676350597	0 2 30 32 42 44 54 56 84 86	-1274772205530
SPT(16)	2046807087847659653	0 38 110 120 150 176 194 236 258 300 318 344 374 384 456 494	-907600896474
STPT(10)	2046808002703854449	0 2 42 44 90 92 138 140 180 182	7255298322
SPT(16)	2046808298545940729	0 24 44 48 74 90 98 104 144 150 158 174 200 204 224 248	303097384602
STPT(10)	2046808329662626469	0 2 42 44 60 62 78 80 120 122	334214070342
SPT(16)	2046808543902601051	0 30 46 52 88 112 166 198 280 312 366 390 426 432 448 478	548454044924
STPT(10)	2046808627388535077	0 2 12 14 42 44 72 74 84 86	631939978950