Prime p₀= 1246438025536664687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Cruncher Pete
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1246437446795809049	0 14 78 104 122 132 150 192 290 332 350 360 378 404 468 482	-578740855638
SPT(16)	1246437663859662809	0 8 54 68 72 78 110 164 168 222 254 260 264 278 324 332	-361677001878
SPT(16)	1246437730589938253	0 6 14 50 56 98 138 156 188 206 246 288 294 330 338 344	-294946726434
SPT(16)	1246437823814378729	0 14 78 80 92 98 108 114 128 134 144 150 162 164 228 242	-201722285958
SPT(16)	1246437838574827273	0 16 40 48 64 100 148 166 198 216 264 300 316 324 348 364	-186961837414
STPT(10)	1246437927283836641	0 2 6 8 48 50 90 92 96 98	-98252828046
STPT(10)	1246438612973557457	0 2 24 26 42 44 60 62 84 86	587436892770
TPT(14)	1246438635489463769	0 2 90 92 108 110 132 134 150 152 168 170 192 194	609952799082
STPT(10)	1246438635489463877	0 2 24 26 42 44 60 62 84 86	609952799190
SPT(16)	1246439275503972763	0 6 30 108 120 178 184 208 276 300 306 364 376 454 478 484	1249967308076
STPT(10)	1246439339992240451	0 2 36 38 78 80 120 122 156 158	1314455575764