Prime p₀= 2044664290298181449 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Dingo
db: batch=80, k=10, 2 40 2 16 2

TPT(14)	2044663264418459339	0 2 30 32 42 44 48 50 132 134 198 200 222 224	-1025879722110
STPT(10)	2044663268228332361	0 2 30 32 78 80 126 128 156 158	-1022069849088
STPT(10)	2044663531622825291	0 2 6 8 48 50 90 92 96 98	-758675356158
STPT(10)	2044664117002818107	0 2 24 26 42 44 60 62 84 86	-173295363342
SPT(16)	2044664172498749237	0 42 72 140 164 174 206 230 276 300 332 342 366 434 464 506	-117799432212
STPT(10)	2044664228270381747	0 2 12 14 42 44 72 74 84 86	-62027799702
STPT(10)	2044664585218567811	0 2 36 38 78 80 120 122 156 158	294920386362
SPT(16)	2044664640587108831	0 18 26 32 36 42 68 92 96 120 146 152 156 162 170 188	350288927382
SPT(16)	2044664726011960111	0 16 42 108 138 148 190 288 310 408 450 460 490 556 582 598	435713778662
SPT(16)	2044664842684056031	0 36 40 112 150 208 228 256 312 340 360 418 456 528 532 568	552385874582
SPT(16)	2044664875579316621	0 12 50 66 68 138 140 152 276 288 290 360 362 378 416 428	585281135172