Prime p₀= 2511591254433928361 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 40 2 40 2 124 2 (?)
a_n: 0 2 126 128 168 170 210 212 336 338
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: 338
Found by: Groo
db: batch=82, k=10, 2 124 2 40 2

SPT(16)	2511590193009825559	0 10 22 30 34 42 58 64 78 84 100 108 112 120 132 142	-1061424102802
STPT(12)	2511590355938093567	0 2 12 14 54 56 90 92 132 134 144 146	-898495834794
SPT(16)	2511590603018540257	0 16 64 76 82 90 166 184 222 240 316 324 330 342 390 406	-651415388104
STPT(10)	2511590649247525091	0 2 36 38 78 80 120 122 156 158	-605186403270
SPT(16)	2511590660536000721	0 2 20 30 56 62 66 72 80 86 90 96 122 132 150 152	-593897927640
STPT(10)	2511590975885792069	0 2 42 44 150 152 258 260 300 302	-278548136292
STPT(10)	2511591513371834651	0 2 6 8 18 20 30 32 36 38	258937906290
SPT(16)	2511591573946671751	0 36 96 148 190 276 306 330 418 442 472 558 600 652 712 748	319512743390
SPT(16)	2511591764277937357	0 16 22 84 112 136 154 186 280 312 330 354 382 444 450 466	509844008996
STPT(10)	2511591784894422689	0 2 18 20 30 32 42 44 60 62	530460494328
SPT(16)	2511592196090564953	0 36 58 60 94 100 114 130 174 190 204 210 244 246 268 304	941656636592