Prime p₀= 2044692115206208997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Landjunge
db: batch=80, k=10, 2 10 2 28 2

STPT(10)	2044691390249125757	0 2 60 62 72 74 84 86 144 146	-724957083240
SPT(16)	2044691564096978743	0 4 6 24 46 60 88 126 178 216 244 258 280 298 300 304	-551109230254
SPT(16)	2044691575476953443	0 10 54 60 76 124 154 166 174 186 216 264 280 286 330 340	-539729255554
STPT(10)	2044691594483624687	0 2 12 14 42 44 72 74 84 86	-520722584310
STPT(10)	2044691897682576341	0 2 78 80 108 110 138 140 216 218	-217523632656
SPT(16)	2044692098597047139	0 14 38 50 84 104 140 144 164 168 204 224 258 270 294 308	-16609161858
SPT(16)	2044692195903954343	0 40 54 64 90 96 108 118 126 136 148 154 180 190 204 244	80697745346
SPT(16)	2044692573668006149	0 28 30 52 72 82 108 112 180 184 210 220 240 262 264 292	458461797152
SPT(16)	2044692808797953257	0 10 84 114 150 166 180 186 250 256 270 286 322 352 426 436	693591744260
SPT(16)	2044692947360784839	0 30 44 68 98 114 140 170 192 222 248 264 294 318 332 362	832154575842
STPT(10)	2044693234681191737	0 2 24 26 42 44 60 62 84 86	1119474982740