Prime p₀= 1040129994292076687 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: [SG-2W]Kurzer
db: batch=76, k=10, 2 22 2 16 2

SPT(13)	1040129208063961079	0 12 30 42 72 78 120 162 168 198 210 228 240	-786228115608
SPT(16)	1040129475552035611	0 18 22 42 106 120 172 208 210 246 298 312 376 396 400 418	-518740041076
SPT(16)	1040129522414196989	0 32 134 140 152 158 164 194 258 288 294 300 312 318 420 452	-471877879698
STPT(10)	1040129711173596191	0 2 30 32 78 80 126 128 156 158	-283118480496
STPT(10)	1040129857859894741	0 2 36 38 78 80 120 122 156 158	-136432181946
STPT(10)	1040129926019621579	0 2 18 20 30 32 42 44 60 62	-68272455108
STPT(10)	1040130061286299769	0 2 30 32 60 62 90 92 120 122	66994223082
SPT(16)	1040130093960361231	0 36 42 48 58 100 112 126 142 156 168 210 220 226 232 268	99668284544
SPT(18)	1040130304770626603	0 36 50 56 114 176 206 210 240 254 284 288 318 380 438 444 458 494	310478549916
SPT(16)	1040130506570833187	0 12 24 44 60 80 110 122 144 156 186 206 222 242 254 266	512278756500
SPT(16)	1040131306541573167	0 34 52 124 126 136 150 232 264 346 360 370 372 444 462 496	1312249496480