Prime p₀= 1588349000261563607 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: vanos0512
db: batch=78, k=10, 2 10 2 28 2

SPT(13)	1588346653513602757	0 54 60 66 84 150 180 210 276 294 300 306 360	-2346747960850
STPT(10)	1588347673845634307	0 2 12 14 72 74 132 134 144 146	-1326415929300
SPT(16)	1588347968041831687	0 36 40 42 60 82 94 106 150 162 174 196 214 216 220 256	-1032219731920
SPT(16)	1588348516111048141	0 16 30 36 58 88 130 156 160 186 228 258 280 286 300 316	-484150515466
SPT(16)	1588348826472981733	0 30 54 70 108 138 154 210 238 294 310 340 378 394 418 448	-173788581874
STPT(10)	1588348972822408331	0 2 78 80 108 110 138 140 216 218	-27439155276
SPT(16)	1588349117307368113	0 90 120 178 216 258 286 304 330 348 376 418 456 514 544 634	117045804506
SPT(16)	1588349385541260637	0 72 84 102 142 172 250 256 330 336 414 444 484 502 514 586	385279697030
STPT(10)	1588349533487983991	0 2 6 8 48 50 90 92 96 98	533226420384
SPT(16)	1588349666081182187	0 96 120 126 176 206 234 242 354 362 390 420 470 476 500 596	665819618580
STPT(10)	1588350239084741219	0 2 138 140 180 182 222 224 360 362	1238823177612