Prime p₀= 1011281429316323507 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: Theadalus
db: batch=76, k=10, 2 22 2 16 2

SPT(13)	1011280165609797857	0 12 42 54 60 120 132 144 204 210 222 252 264	-1263706525650
SPT(16)	1011280552141559459	0 8 30 60 90 114 128 134 168 174 188 212 242 272 294 302	-877174764048
STPT(10)	1011280600003538531	0 2 6 8 18 20 30 32 36 38	-829312784976
SPT(16)	1011281256455977561	0 6 28 46 60 70 82 88 90 96 108 118 132 150 172 178	-172860345946
STPT(10)	1011281320575049829	0 2 48 50 90 92 132 134 180 182	-108741273678
SPT(16)	1011281391288190291	0 12 16 52 76 90 162 166 276 280 352 366 390 426 430 442	-38028133216
SPT(16)	1011281672143097093	0 44 50 78 90 98 116 140 204 228 246 254 266 294 300 344	242826773586
STPT(10)	1011281833551298427	0 2 24 26 42 44 60 62 84 86	404234974920
SPT(16)	1011281923584069931	0 36 48 78 120 148 150 178 180 208 210 238 280 310 322 358	494267746424
SPT(16)	1011282161278300039	0 22 24 42 88 90 108 130 192 214 232 234 280 298 300 322	731961976532
STPT(10)	1011282461420795297	0 2 30 32 42 44 54 56 84 86	1032104471790