Prime p₀= 2044065033750517847 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Orange Kid
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2044062823556624797	0 10 24 72 90 124 136 154 222 240 252 286 304 352 366 376	-2210193893050
SPT(16)	2044063022150922457	0 16 76 136 144 156 196 216 304 324 364 376 384 444 504 520	-2011599595390
STPT(10)	2044063173973683167	0 2 30 32 42 44 54 56 84 86	-1859776834680
SPT(16)	2044063328996835151	0 46 52 76 106 120 130 148 150 168 178 192 222 246 252 298	-1704753682696
STPT(10)	2044064368437305237	0 2 90 92 102 104 114 116 204 206	-665313212610
SPT(16)	2044064667248470507	0 42 54 60 64 84 120 132 154 166 202 222 226 232 244 286	-366502047340
STPT(10)	2044065580475712107	0 2 30 32 42 44 54 56 84 86	546725194260
SPT(20)	2044065941030697433	0 10 36 40 54 78 126 136 178 180 274 276 318 328 376 400 414 418 444 454	907280179586
TPT(14)	2044065979056496697	0 2 54 56 84 86 150 152 210 212 222 224 234 236	945305978850
SPT(16)	2044066023055088969	0 60 68 104 132 158 170 188 234 252 264 290 318 354 362 422	989304571122
SPT(16)	2044066139840989829	0 8 42 90 104 120 258 318 344 404 542 558 572 620 654 662	1106090471982