Prime p₀= 2044665087841948469 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Dingo
db: batch=80, k=10, 2 16 2 10 2

STPT(10)	2044664290298181449	0 2 42 44 60 62 78 80 120 122	-797543767020
STPT(10)	2044664585218567811	0 2 36 38 78 80 120 122 156 158	-502623380658
SPT(16)	2044664640587108831	0 18 26 32 36 42 68 92 96 120 146 152 156 162 170 188	-447254839638
SPT(16)	2044664726011960111	0 16 42 108 138 148 190 288 310 408 450 460 490 556 582 598	-361829988358
SPT(16)	2044664842684056031	0 36 40 112 150 208 228 256 312 340 360 418 456 528 532 568	-245157892438
SPT(16)	2044664875579316621	0 12 50 66 68 138 140 152 276 288 290 360 362 378 416 428	-212262631848
SPT(16)	2044665152352610009	0 28 94 102 148 178 192 210 232 250 264 294 340 348 414 442	64510661540
SPT(16)	2044665480140092787	0 24 26 50 66 132 186 234 302 350 404 470 486 510 512 536	392298144318
SPT(16)	2044665813900815117	0 12 36 56 62 84 90 102 134 146 152 174 180 200 224 236	726058866648
SPT(16)	2044665902625546559	0 34 60 94 130 142 192 232 282 322 372 384 420 454 480 514	814783598090
STPT(10)	2044665986562805337	0 2 30 32 42 44 54 56 84 86	898720856868