Prime p₀= 2005522905152381939 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: Landjunge
db: batch=80, k=10, 2 40 2 16 2

SPT(16)	2005519799368685801	0 38 78 80 90 92 108 120 248 260 276 278 288 290 330 368	-3105783696138
STPT(10)	2005520231897790701	0 2 30 32 60 62 90 92 120 122	-2673254591238
SPT(16)	2005521496333145327	0 54 56 66 110 120 162 176 180 194 236 246 290 300 302 356	-1408819236612
STPT(10)	2005521694121281121	0 2 30 32 60 62 90 92 120 122	-1211031100818
SPT(20)	2005521954579277931	0 42 62 68 96 158 180 192 198 216 332 350 356 368 390 452 480 486 506 548	-950573104008
SPT(16)	2005522843234459013	0 24 56 86 114 134 176 218 246 288 330 350 378 408 440 464	-61917922926
SPT(16)	2005522918489362541	0 16 40 52 70 100 112 126 136 150 162 192 210 222 246 262	13336980602
STPT(10)	2005523183403102617	0 2 42 44 72 74 102 104 144 146	278250720678
SPT(16)	2005523648950750211	0 30 86 92 128 132 150 162 176 188 206 210 246 252 308 338	743798368272
SPT(16)	2005523835932595721	0 18 30 40 42 46 58 106 162 210 222 226 228 238 250 268	930780213782
STPT(10)	2005524081104826179	0 2 42 44 60 62 78 80 120 122	1175952444240