Prime p₀= 2050770405410497751 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: Landjunge
db: batch=80, k=10, 2 76 2 58 2

SPT(16)	2050768894713915041	0 18 30 68 102 128 150 168 182 200 222 248 282 320 332 350	-1510696582710
SPT(16)	2050768916850631283	0 18 26 108 150 168 180 284 300 404 416 434 476 558 566 584	-1488559866468
STPT(10)	2050769691215107649	0 2 48 50 90 92 132 134 180 182	-714195390102
STPT(10)	2050769813345860067	0 2 24 26 42 44 60 62 84 86	-592064637684
SPT(16)	2050770020768134279	0 34 54 82 108 150 154 202 210 258 262 304 330 358 378 412	-384642363472
STPT(10)	2050770050160110267	0 2 30 32 102 104 174 176 204 206	-355250387484
SPT(16)	2050770512767199579	0 12 14 30 38 68 102 104 108 110 144 174 182 198 200 212	107356701828
STPT(10)	2050770562775390537	0 2 54 56 72 74 90 92 144 146	157364892786
SPT(13)	2050770728610037853	0 18 48 60 66 90 108 126 150 156 168 198 216	323199540102
STPT(10)	2050771048611148481	0 2 36 38 78 80 120 122 156 158	643200650730
SPT(16)	2050771048632048829	0 42 60 88 100 102 192 280 312 400 490 492 504 532 550 592	643221551078