Prime p₀= 3002561570930038727 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

TPT(14)	3002560352958603137	0 2 42 44 120 122 192 194 282 284 294 296 420 422	-1217971435590
STPT(12)	3002560475046141671	0 2 6 8 48 50 138 140 180 182 186 188	-1095883897056
SPT(16)	3002560785913293361	0 12 16 42 70 82 120 130 138 148 186 198 226 252 256 268	-785016745366
STPT(10)	3002560835946720911	0 2 36 38 78 80 120 122 156 158	-734983317816
STPT(10)	3002561341605927317	0 2 60 62 72 74 84 86 144 146	-229324111410
STPT(10)	3002561454728058887	0 2 42 44 72 74 102 104 144 146	-116201979840
TPT(14)	3002561898795550241	0 2 36 38 66 68 216 218 300 302 336 338 390 392	327865511514
SPT(16)	3002561924296163237	0 12 26 30 42 50 72 116 120 164 186 194 206 210 224 236	353366124510
SPT(16)	3002562033671846411	0 38 80 90 120 132 162 192 206 236 266 278 308 318 360 398	462741807684
SPT(16)	3002562643932244429	0 4 12 58 60 70 78 144 148 214 222 232 234 280 288 292	1073002205702
TPT(14)	3002563019232236069	0 2 42 44 78 80 150 152 240 242 252 254 462 464	1448302197342