Prime p₀= 1278103165718600657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Theadalus
db: batch=77, k=10, 2 40 2 28 2

SPT(16)	1278100828046436707	0 14 24 26 60 92 102 176 210 284 294 326 360 362 372 386	-2337672163950
SPT(16)	1278101351299383077	0 26 84 120 140 152 174 242 294 362 384 396 416 452 510 536	-1814419217580
STPT(10)	1278101800987197617	0 2 12 14 72 74 132 134 144 146	-1364731403040
SPT(16)	1278102322486664021	0 42 68 78 96 138 162 222 326 386 410 452 470 480 506 548	-843231936636
SPT(16)	1278102584774530639	0 4 18 60 88 124 148 154 204 210 234 270 298 340 354 358	-580944070018
SPT(16)	1278102849554592419	0 2 50 68 80 98 140 180 182 222 264 282 294 312 360 362	-316164008238
SPT(16)	1278103615336691029	0 28 34 84 90 108 112 118 144 150 154 172 178 228 234 262	449618090372
STPT(10)	1278103990272121391	0 2 36 38 78 80 120 122 156 158	824553520734
STPT(10)	1278104434945553387	0 2 12 14 42 44 72 74 84 86	1269226952730
SPT(16)	1278105340255561603	0 18 60 88 90 120 130 148 156 174 184 214 216 244 286 304	2174536960946
SPT(16)	1278106017597476519	0 2 8 14 50 84 90 134 138 182 188 222 258 264 270 272	2851878875862