Prime p₀= 3006532411381891277 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=82, k=10, 2 10 2 28 2

STPT(10)	3006528537542770697	0 2 30 32 72 74 114 116 144 146	-3873839120580
STPT(10)	3006528829920511409	0 2 42 44 90 92 138 140 180 182	-3581461379868
SPT(16)	3006529424558451307	0 10 66 76 94 102 106 126 130 150 154 162 180 190 246 256	-2986823439970
STPT(10)	3006529983009174239	0 2 48 50 60 62 72 74 120 122	-2428372717038
TPT(14)	3006530086683615209	0 2 42 44 132 134 198 200 210 212 258 260 312 314	-2324698276068
STPT(10)	3006530116039928741	0 2 6 8 48 50 90 92 96 98	-2295341962536
SPT(16)	3006533117251768001	0 56 66 72 128 132 140 150 248 258 266 270 326 332 342 398	705869876724
STPT(10)	3006533152747830047	0 2 24 26 42 44 60 62 84 86	741365938770
SPT(16)	3006533155461335329	0 22 30 84 118 130 168 172 240 244 282 294 328 382 390 412	744079444052
SPT(16)	3006533927711807173	0 10 24 58 66 70 76 90 94 108 114 118 126 160 174 184	1516329915896
SPT(16)	3006534244085090557	0 40 46 70 76 90 150 166 180 196 256 270 276 300 306 346	1832703199280