Prime p₀= 2667204599716549547 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: biodoc
db: batch=82, k=10, 2 10 2 58 2

SPT(18)	2667201966329542111	0 46 52 82 96 108 138 150 172 186 208 220 250 262 276 306 312 358	-2633387007436
SPT(16)	2667202398456880717	0 4 10 12 52 54 72 94 102 124 142 144 184 186 192 196	-2201259668830
SPT(16)	2667203702724715277	0 14 32 56 84 90 92 222 224 354 356 362 390 414 432 446	-896991834270
SPT(16)	2667204078048951877	0 34 42 66 130 144 186 192 304 310 352 366 430 454 462 496	-521667597670
SPT(16)	2667204120743783431	0 6 52 70 136 142 160 172 240 252 270 276 342 360 406 412	-478972766116
SPT(16)	2667204484452463649	0 14 30 44 68 84 140 200 222 282 338 354 378 392 408 422	-115264085898
STPT(10)	2667204662540211317	0 2 30 32 42 44 54 56 84 86	62823661770
STPT(10)	2667205610801221739	0 2 18 20 30 32 42 44 60 62	1011084672192
SPT(16)	2667205695028065887	0 62 104 122 126 170 182 222 224 264 276 320 324 342 384 446	1095311516340
TPT(14)	2667205850619574091	0 2 18 20 36 38 48 50 78 80 156 158 198 200	1250903024544
SPT(16)	2667206041747589521	0 78 102 112 132 142 148 156 202 210 216 226 246 256 280 358	1442031039974