Prime p₀= 2044739350643895077 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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 40 2 28 2

SPT(16)	2044738371999202697	0 6 80 96 104 122 212 236 270 294 384 402 410 426 500 506	-978644692380
SPT(16)	2044738671684070721	0 42 66 90 116 242 258 276 332 350 366 492 518 542 566 608	-678959824356
SPT(16)	2044738677698612471	0 2 78 92 98 120 140 156 212 228 248 270 276 290 366 368	-672945282606
SPT(16)	2044739045131249279	0 40 42 72 82 112 138 142 168 172 198 228 238 268 270 310	-305512645798
SPT(16)	2044739098303260523	0 10 48 64 94 108 138 178 180 220 250 264 294 310 348 358	-252340634554
SPT(16)	2044739102618261507	0 24 72 84 86 122 150 156 230 236 264 300 302 314 362 386	-248025633570
SPT(16)	2044739413226683991	0 2 38 60 108 126 140 156 242 258 272 290 338 360 396 398	62582788914
SPT(16)	2044739758930391113	0 6 28 34 48 66 78 96 148 166 178 196 210 216 238 244	408286496036
TPT(14)	2044740026822178767	0 2 72 74 90 92 210 212 222 224 240 242 300 302	676178283690
STPT(10)	2044740725721780209	0 2 12 14 30 32 48 50 60 62	1375077885132
STPT(10)	2044740818459840489	0 2 18 20 30 32 42 44 60 62	1467815945412