Prime p₀= 3004292579258046689 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	3004291337904092461	0 10 66 70 88 102 108 112 186 190 196 210 228 232 288 298	-1241353954228
SPT(16)	3004291513264206257	0 32 54 56 80 186 192 236 240 284 290 396 420 422 444 476	-1065993840432
SPT(16)	3004291911758522207	0 6 30 72 86 102 120 170 186 236 254 270 284 326 350 356	-667499524482
STPT(10)	3004291946807780579	0 2 18 20 30 32 42 44 60 62	-632450266110
STPT(10)	3004292003998609991	0 2 6 8 18 20 30 32 36 38	-575259436698
STPT(10)	3004292072568317537	0 2 30 32 42 44 54 56 84 86	-506689729152
SPT(16)	3004292654555838419	0 14 20 50 72 92 114 132 182 200 222 242 264 294 300 314	75297791730
SPT(16)	3004292700204714943	0 6 16 96 118 120 126 136 138 148 154 156 178 258 268 274	120946668254
SPT(16)	3004292776105922827	0 4 10 30 40 84 96 106 144 154 166 210 220 240 246 250	196847876138
SPT(16)	3004293346465635461	0 12 32 42 72 80 182 186 206 210 312 320 350 360 380 392	767207588772
STPT(10)	3004293481643474789	0 2 18 20 30 32 42 44 60 62	902385428100