Prime p₀= 1319657229364281107 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: emoga
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1319656032387488647	0 24 36 42 64 106 112 132 154 174 180 222 244 250 262 286	-1196976792460
SPT(16)	1319656104040931323	0 6 28 34 46 94 108 150 154 196 210 258 270 276 298 304	-1125323349784
SPT(16)	1319656327664865713	0 26 54 84 164 168 180 186 308 314 326 330 410 440 468 494	-901699415394
STPT(10)	1319656347633785501	0 2 156 158 198 200 240 242 396 398	-881730495606
STPT(10)	1319656744501666169	0 2 18 20 30 32 42 44 60 62	-484862614938
STPT(10)	1319656913788741571	0 2 138 140 168 170 198 200 336 338	-315575539536
SPT(16)	1319657391085360043	0 14 56 78 98 114 164 176 198 210 260 276 296 318 360 374	161721078936
STPT(10)	1319657737269363389	0 2 18 20 30 32 42 44 60 62	507905082282
STPT(10)	1319657799953984471	0 2 36 38 78 80 120 122 156 158	570589703364
TPT(14)	1319657943295835159	0 2 78 80 90 92 102 104 168 170 252 254 330 332	713931554052
SPT(20)	1319658010814125991	0 2 50 120 126 150 170 192 222 236 336 350 380 402 422 446 452 522 570 572	781449844884