Prime p₀= 865735719347786237 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: marsinph
db: batch=73, k=10, 2 28 2 10 2

SPT(18)	865733954028158399	0 38 48 90 92 108 120 140 150 272 282 302 314 330 332 374 384 422	-1765319627838
SPT(16)	865734376611185063	0 6 48 50 86 108 114 146 198 230 236 258 294 296 338 344	-1342736601174
SPT(16)	865734922211787119	0 18 50 140 174 188 242 260 342 360 414 428 462 552 584 602	-797135999118
SPT(16)	865734922882851331	0 18 36 48 52 70 88 90 148 150 168 186 190 202 220 238	-796464934906
STPT(10)	865735426042657241	0 2 36 38 78 80 120 122 156 158	-293305128996
STPT(10)	865735442578176221	0 2 6 8 18 20 30 32 36 38	-276769610016
SPT(16)	865736011459377013	0 16 36 40 46 106 118 120 124 126 138 198 204 208 228 244	292111590776
SPT(16)	865736339305082431	0 36 40 70 88 132 180 190 228 238 286 330 348 378 382 418	619957296194
STPT(10)	865736480125295921	0 2 6 8 18 20 30 32 36 38	760777509684
SPT(16)	865736493918677543	0 24 30 66 74 140 144 200 204 260 264 330 338 374 380 404	774570891306
SPT(16)	865736523476461267	0 4 36 52 60 120 124 126 190 192 196 256 264 280 312 316	804128675030