Prime p₀= 1307307282456073427 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

STPT(10)	1307306217644766341	0 2 30 32 60 62 90 92 120 122	-1064811307086
STPT(10)	1307306512553009327	0 2 60 62 72 74 84 86 144 146	-769903064100
SPT(16)	1307306547573922667	0 14 74 114 120 140 150 156 170 176 186 206 212 252 312 326	-734882150760
SPT(16)	1307306634063838649	0 24 38 48 54 138 164 180 248 264 290 374 380 390 404 428	-648392234778
SPT(16)	1307307047877082151	0 6 8 48 50 102 126 242 246 362 386 438 440 480 482 488	-234578991276
TPT(14)	1307307282456073361	0 2 66 68 78 80 108 110 138 140 150 152 180 182	-66
SPT(16)	1307308066231283717	0 12 24 102 116 144 242 252 254 264 362 390 404 482 494 506	783775210290
STPT(10)	1307308220123495267	0 2 30 32 42 44 54 56 84 86	937667421840
SPT(16)	1307308671579523777	0 24 30 94 106 114 120 126 184 190 196 204 216 280 286 310	1389123450350
SPT(16)	1307308796856530591	0 8 18 56 90 102 116 128 270 282 296 308 342 380 390 398	1514400457164
STPT(10)	1307309093702493311	0 2 6 8 108 110 210 212 216 218	1811246419884