Prime p₀= 813698703366924539 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: matali
db: batch=73, k=10, 2 46 2 40 2

SPT(16)	813697192802356417	0 84 102 120 126 162 174 190 216 232 244 280 286 304 322 406	-1510564568122
SPT(16)	813697404630200081	0 26 56 90 96 102 116 182 186 252 266 272 278 312 342 368	-1298736724458
SPT(16)	813697622826382823	0 78 86 146 156 176 228 254 300 326 378 398 408 468 476 554	-1080540541716
SPT(18)	813697824070553089	0 22 24 42 48 120 150 154 160 192 198 202 232 304 310 328 330 352	-879296371450
SPT(16)	813698119790173273	0 6 40 60 66 90 96 126 130 160 166 190 196 216 250 256	-583576751266
SPT(16)	813698550019295749	0 22 70 78 84 130 154 162 190 198 222 268 274 282 330 352	-153347628790
SPT(16)	813699248254332967	0 22 42 52 90 120 156 160 186 190 226 256 294 304 324 346	544887408428
TPT(14)	813699320501304509	0 2 18 20 30 32 72 74 138 140 150 152 312 314	617134379970
SPT(16)	813699885988639523	0 18 44 60 66 74 86 108 146 168 180 188 194 210 236 254	1182621714984
STPT(10)	813699963322383659	0 2 18 20 30 32 42 44 60 62	1259955459120
SPT(16)	813700458138582347	0 32 72 102 180 186 216 254 312 350 380 386 464 494 534 566	1754771657808