Prime p₀= 2678627359775720369 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 88 2

SPT(16)	2678626006075331777	0 2 24 80 122 126 150 170 216 236 260 264 306 362 384 386	-1353700388592
TPT(14)	2678626411122839297	0 2 30 32 72 74 84 86 162 164 264 266 324 326	-948652881072
STPT(10)	2678626605801460661	0 2 6 8 48 50 90 92 96 98	-753974259708
STPT(10)	2678627061175925747	0 2 24 26 42 44 60 62 84 86	-298599794622
SPT(16)	2678627082353102333	0 56 60 96 104 116 126 144 176 194 204 216 224 260 264 320	-277422618036
SPT(16)	2678627305517684681	0 2 30 66 90 96 110 122 156 168 182 188 212 248 276 278	-54258035688
SPT(16)	2678627469998353619	0 14 32 42 74 98 120 132 140 152 174 198 230 240 258 272	110222633250
SPT(16)	2678628144279485639	0 20 38 50 54 104 132 134 138 140 168 218 222 234 252 272	784503765270
SPT(16)	2678628203696011499	0 44 62 72 78 80 170 174 248 252 342 344 350 360 378 422	843920291130
SPT(16)	2678628293966631739	0 10 12 52 64 78 82 84 88 90 94 108 120 160 162 172	934190911370
SPT(16)	2678628334776625333	0 36 46 76 126 174 186 196 264 274 286 334 384 414 424 460	975000904964