Prime p₀= 2579783722822652579 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: JayPi
db: batch=82, k=10, 2 46 2 10 2

SPT(16)	2579781044694902309	0 2 44 72 74 78 114 122 210 218 254 258 260 288 330 332	-2678127750270
TPT(14)	2579781739626883061	0 2 6 8 30 32 96 98 156 158 180 182 240 242	-1983195769518
STPT(10)	2579781960393130247	0 2 30 32 42 44 54 56 84 86	-1762429522332
SPT(16)	2579782738329470111	0 6 20 48 78 126 170 182 246 258 302 350 380 408 422 428	-984493182468
SPT(16)	2579783131323613367	0 36 50 74 116 140 144 146 174 176 180 204 246 270 284 320	-591499039212
SPT(16)	2579783545332832229	0 128 188 200 210 228 230 234 314 318 320 338 348 360 420 548	-177489820350
TPT(14)	2579783766137920031	0 2 30 32 126 128 138 140 156 158 228 230 240 242	43315267452
SPT(16)	2579784835326042049	0 34 72 94 114 144 150 154 198 202 208 238 258 280 318 352	1112503389470
SPT(16)	2579785238850050381	0 2 42 66 78 122 140 212 216 288 306 350 362 386 426 428	1516027397802
STPT(10)	2579785429111323569	0 2 48 50 90 92 132 134 180 182	1706288670990
SPT(16)	2579785462773125179	0 4 24 52 70 72 84 100 102 118 130 132 150 178 198 202	1739950472600