Prime p₀= 2379123842291679407 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: MarkRBright
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2379121300408536631	0 10 90 120 126 150 168 190 246 268 286 310 316 346 426 436	-2541883142776
SPT(16)	2379121335846630061	0 10 12 18 40 46 78 88 120 130 162 168 190 196 198 208	-2506445049346
SPT(16)	2379121593653951581	0 10 12 18 52 136 162 178 240 256 282 366 400 406 408 418	-2248637727826
TPT(14)	2379121693624084049	0 2 18 20 102 104 210 212 252 254 300 302 312 314	-2148667595358
TPT(14)	2379122003079883421	0 2 66 68 96 98 120 122 150 152 180 182 216 218	-1839211795986
SPT(16)	2379122649128135971	0 16 46 48 82 106 126 142 186 202 222 246 280 282 312 328	-1193163543436
SPT(16)	2379123846476852939	0 2 14 48 62 72 102 104 168 170 200 210 224 258 270 272	4185173532
SPT(16)	2379124104186283577	0 2 26 30 32 56 114 126 200 212 270 294 296 300 324 326	261894604170
SPT(16)	2379124288028827319	0 30 32 38 50 102 114 120 122 128 140 192 204 210 212 242	445737147912
STPT(10)	2379124435150294451	0 2 6 8 48 50 90 92 96 98	592858615044
STPT(12)	2379124542180842411	0 2 18 20 60 62 96 98 138 140 156 158	699889163004