Prime p₀= 2379132755833847339 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: MarkRBright
db: batch=81, k=10, 2 16 2 10 2

SPT(18)	2379131484090239981	0 20 26 56 72 98 116 152 156 212 216 252 270 296 312 342 348 368	-1271743607358
STPT(10)	2379131807879280359	0 2 42 44 90 92 138 140 180 182	-947954566980
STPT(10)	2379132331274859047	0 2 30 32 42 44 54 56 84 86	-424558988292
SPT(16)	2379132491250549973	0 24 70 120 124 138 144 148 186 190 196 210 214 264 310 334	-264583297366
SPT(16)	2379132569010999847	0 40 52 66 70 94 112 136 180 204 222 246 250 264 276 316	-186822847492
SPT(16)	2379132583873863347	0 32 56 66 84 140 144 150 176 182 186 242 260 270 294 326	-171959983992
STPT(10)	2379132909180301541	0 2 36 38 78 80 120 122 156 158	153346454202
STPT(10)	2379133136302884719	0 2 18 20 30 32 42 44 60 62	380469037380
STPT(10)	2379133432416755627	0 2 30 32 42 44 54 56 84 86	676582908288
SPT(16)	2379133685469651767	0 26 54 104 132 156 186 236 270 320 350 374 402 452 480 506	929635804428
SPT(16)	2379133790577448747	0 22 66 82 94 112 120 150 166 196 204 222 234 250 294 316	1034743601408