Prime p₀= 27645599629187591 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: stoneageman
db: batch=65, k=10, 2 4 2 10 2

SPT(14)	27645545440528727	0 6 12 20 32 50 56 60 66 84 96 104 110 116	-54188658864
SPT(14)	27645559252949587	0 4 10 34 60 82 232 234 384 406 432 456 462 466	-40376238004
SPT(14)	27645564975703889	0 30 102 194 284 288 294 338 344 348 438 530 602 632	-34653483702
TPT(12)	27645577750483727	0 2 72 74 102 104 144 146 180 182 210 212	-21878703864
SPT(14)	27645585611612933	0 54 66 90 98 116 126 128 138 156 164 188 200 254	-14017574658
SPT(14)	27645596817723121	0 6 28 30 40 42 112 156 226 228 238 240 262 268	-2811464470
SPT(14)	27645600198520531	0 10 28 118 126 168 178 240 250 292 300 390 408 418	569332940
SPT(14)	27645602273888941	0 12 16 42 66 72 88 150 166 172 196 222 226 238	2644701350
SPT(14)	27645623501890643	0 6 8 60 90 98 134 270 306 314 344 396 398 404	23872703052
SPT(14)	27645625062144091	0 6 18 22 52 72 88 90 106 126 156 160 172 178	25432956500
SPT(14)	27645625985585317	0 12 30 34 40 90 124 150 184 234 240 244 262 274	26356397726