Prime p₀= 276856225843205189 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: scrap
db: batch=69, k=10, 2 16 2 10 2

SPT(14)	276856174479490043	0 6 54 84 110 140 170 240 270 300 326 356 404 410	-51363715146
SPT(14)	276856194368536283	0 18 20 68 120 128 138 176 186 194 246 294 296 314	-31474668906
SPT(14)	276856194839756383	0 34 40 48 70 96 166 168 238 264 286 294 300 334	-31003448806
SPT(14)	276856203533284483	0 28 54 58 78 84 114 124 154 160 180 184 210 238	-22309920706
SPT(14)	276856207528916203	0 4 6 34 70 100 108 136 144 174 210 238 240 244	-18314288986
SPT(14)	276856225305963053	0 24 44 66 114 144 150 164 170 200 248 270 290 314	-537242136
SPT(14)	276856242812931959	0 8 80 128 140 168 188 354 374 402 414 462 534 542	16969726770
SPT(14)	276856260719023547	0 2 66 72 116 150 156 176 182 216 260 266 330 332	34875818358
SPT(14)	276856266797615101	0 18 42 72 88 126 130 168 172 210 226 256 280 298	40954409912
SPT(14)	276856298412053329	0 58 100 112 114 124 142 180 198 208 210 222 264 322	72568848140
TPT(12)	276856314623592959	0 2 12 14 132 134 258 260 342 344 420 422	88780387770