Prime p₀= 1278104434945553387 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: Theadalus
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1278102322486664021	0 42 68 78 96 138 162 222 326 386 410 452 470 480 506 548	-2112458889366
SPT(16)	1278102584774530639	0 4 18 60 88 124 148 154 204 210 234 270 298 340 354 358	-1850171022748
SPT(16)	1278102849554592419	0 2 50 68 80 98 140 180 182 222 264 282 294 312 360 362	-1585390960968
STPT(10)	1278103165718600657	0 2 42 44 72 74 102 104 144 146	-1269226952730
SPT(16)	1278103615336691029	0 28 34 84 90 108 112 118 144 150 154 172 178 228 234 262	-819608862358
STPT(10)	1278103990272121391	0 2 36 38 78 80 120 122 156 158	-444673431996
SPT(16)	1278105340255561603	0 18 60 88 90 120 130 148 156 174 184 214 216 244 286 304	905310008216
SPT(16)	1278106017597476519	0 2 8 14 50 84 90 134 138 182 188 222 258 264 270 272	1582651923132
TPT(14)	1278106491865165931	0 2 78 80 138 140 150 152 180 182 216 218 276 278	2056919612544
STPT(10)	1278106521503833067	0 2 12 14 72 74 132 134 144 146	2086558279680
SPT(16)	1278106644864001769	0 32 62 102 110 138 150 164 168 182 194 222 230 270 300 332	2209918448382