Prime p₀= 1245501245812675739 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: Megacruncher
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1245499937454816481	0 6 72 78 88 102 180 226 312 358 436 450 460 466 532 538	-1308357859258
SPT(16)	1245500466989548039	0 4 28 34 48 54 70 84 124 138 154 160 174 180 204 208	-778823127700
STPT(10)	1245500675591786321	0 2 36 38 78 80 120 122 156 158	-570220889418
SPT(16)	1245500695300191607	0 34 60 96 106 132 166 186 190 210 244 270 280 316 342 376	-550512484132
SPT(16)	1245500728711468661	0 60 78 168 182 248 252 288 290 326 330 396 410 500 518 578	-517101207078
STPT(10)	1245501040841520887	0 2 54 56 72 74 90 92 144 146	-204971154852
SPT(16)	1245501699483899491	0 30 40 82 112 118 142 148 222 228 252 258 288 330 340 370	453671223752
STPT(10)	1245501796337122967	0 2 30 32 42 44 54 56 84 86	550524447228
TPT(14)	1245501933949747337	0 2 12 14 120 122 264 266 294 296 342 344 360 362	688137071598
STPT(10)	1245501959974879331	0 2 6 8 48 50 90 92 96 98	714162203592
SPT(16)	1245503486562186143	0 14 24 26 116 138 210 216 278 284 356 378 468 470 480 494	2240749510404