Prime p₀= 3006173829092001947 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Orange Kid
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	3006172363460753483	0 8 24 36 66 78 84 138 206 260 266 278 308 320 336 344	-1465631248464
STPT(10)	3006172579864354889	0 2 18 20 30 32 42 44 60 62	-1249227647058
STPT(10)	3006172768969378241	0 2 36 38 78 80 120 122 156 158	-1060122623706
TPT(14)	3006172844907760637	0 2 72 74 102 104 114 116 180 182 222 224 282 284	-984184241310
STPT(10)	3006173355735165401	0 2 30 32 78 80 126 128 156 158	-473356836546
SPT(16)	3006173410784168227	0 30 40 54 66 70 84 96 154 166 180 184 196 210 220 250	-418307833720
SPT(16)	3006174131822144837	0 12 14 50 72 74 102 116 120 134 162 164 186 222 224 236	302730142890
SPT(16)	3006174394396780157	0 6 50 66 74 84 140 144 266 270 326 336 344 360 404 410	565304778210
SPT(16)	3006175047458404147	0 6 46 60 106 126 154 156 160 162 190 210 256 270 310 316	1218366402200
SPT(16)	3006175335310293287	0 14 30 56 60 110 150 194 252 296 336 386 390 416 432 446	1506218291340
SPT(16)	3006175384852798541	0 32 56 62 80 102 108 122 126 140 146 168 186 192 216 248	1555760796594