Prime p₀= 1051464688593291569 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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 16 2 40 2

SPT(16)	1051463480190730133	0 50 120 128 174 186 198 270 284 356 368 380 426 434 504 554	-1208402561436
STPT(10)	1051463565159083759	0 2 12 14 90 92 168 170 180 182	-1123434207810
SPT(16)	1051463837647035383	0 6 18 86 98 114 138 146 168 176 200 216 228 296 308 314	-850946256186
SPT(16)	1051464198492778547	0 12 36 60 72 74 80 114 122 156 162 164 176 200 224 236	-490100513022
STPT(10)	1051464203918186867	0 2 30 32 42 44 54 56 84 86	-484675104702
STPT(10)	1051464255858063737	0 2 30 32 42 44 54 56 84 86	-432735227832
SPT(16)	1051464720082434961	0 18 36 58 90 112 120 190 198 268 276 298 330 352 370 388	31489143392
STPT(10)	1051465250120616647	0 2 30 32 42 44 54 56 84 86	561527325078
SPT(16)	1051465275568113397	0 4 24 52 82 96 132 166 180 214 250 264 294 322 342 346	586974821828
STPT(10)	1051465576885295951	0 2 36 38 78 80 120 122 156 158	888292004382
STPT(10)	1051465592822313467	0 2 30 32 42 44 54 56 84 86	904229021898