Prime p₀= 1081460728717366967 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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=76, k=10, 2 28 2 40 2

SPT(16)	1081460244896417663	0 14 36 78 104 138 144 146 168 170 176 210 236 278 300 314	-483820949304
STPT(10)	1081460283716053247	0 2 30 32 42 44 54 56 84 86	-445001313720
SPT(16)	1081460421660833051	0 6 8 32 78 116 122 162 206 246 252 290 336 360 362 368	-307056533916
SPT(16)	1081460466138047167	0 30 54 60 64 72 102 132 154 184 214 222 226 232 256 286	-262579319800
SPT(16)	1081460623192727147	0 12 24 30 54 90 122 152 252 282 314 350 374 380 392 404	-105524639820
SPT(16)	1081460656452943913	0 18 44 60 138 158 168 170 198 200 210 230 308 324 350 368	-72264423054
STPT(10)	1081460896826387171	0 2 6 8 48 50 90 92 96 98	168109020204
SPT(16)	1081461498660821617	0 16 22 54 72 84 106 202 204 300 322 334 352 384 390 406	769943454650
SPT(16)	1081461674238387707	0 2 14 24 62 80 104 114 122 132 156 174 212 222 234 236	945521020740
STPT(10)	1081462031890844027	0 2 54 56 132 134 210 212 264 266	1303173477060
SPT(16)	1081462365936872863	0 10 28 30 108 130 160 180 214 234 264 286 364 366 384 394	1637219505896