Prime p₀= 1051461244503684107 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: stoneageman
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1051459820167262089	0 28 58 100 190 232 262 264 388 390 420 462 552 594 624 652	-1424336422018
STPT(10)	1051460121835461971	0 2 6 8 48 50 90 92 96 98	-1122668222136
STPT(10)	1051460409283456397	0 2 30 32 42 44 54 56 84 86	-835220227710
SPT(16)	1051460694608092931	0 18 26 32 38 66 78 92 126 140 152 180 186 192 200 218	-549895591176
STPT(10)	1051460736116082179	0 2 18 20 30 32 42 44 60 62	-508387601928
SPT(16)	1051460787039725369	0 24 30 62 102 140 224 242 282 300 384 422 462 494 500 524	-457463958738
SPT(16)	1051461326607825373	0 6 18 30 84 88 144 226 258 340 396 400 454 466 478 484	82104141266
STPT(10)	1051461334807267199	0 2 12 14 30 32 48 50 60 62	90303583092
SPT(16)	1051461390220571401	0 16 22 52 102 108 112 120 178 186 190 196 246 276 282 298	145716887294
STPT(10)	1051461466771041461	0 2 36 38 78 80 120 122 156 158	222267357354
SPT(16)	1051461536082390371	0 30 60 78 116 120 158 170 198 210 248 252 290 308 338 368	291578706264