Prime p₀= 1044524580923380157 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

SPT(16)	1044523713026472949	0 18 34 40 48 58 88 90 112 114 144 154 162 168 184 202	-867896907208
SPT(16)	1044523729769988233	0 30 36 104 146 198 204 230 234 260 266 318 360 428 434 464	-851153391924
STPT(10)	1044524185094699339	0 2 30 32 60 62 90 92 120 122	-395828680818
STPT(10)	1044524210891139071	0 2 36 38 78 80 120 122 156 158	-370032241086
SPT(16)	1044524257442481209	0 8 14 18 30 50 60 84 158 182 192 212 224 228 234 242	-323480898948
STPT(10)	1044524278039274477	0 2 30 32 42 44 54 56 84 86	-302884105680
SPT(16)	1044524881757379637	0 10 16 84 90 96 136 142 294 300 340 346 352 420 426 436	300833999480
SPT(16)	1044525317765924021	0 18 42 102 152 156 228 240 278 290 362 366 416 476 500 518	736842543864
STPT(10)	1044525352708910417	0 2 42 44 72 74 102 104 144 146	771785530260
SPT(16)	1044525561924960523	0 16 30 46 64 70 78 84 130 136 144 150 168 184 198 214	981001580366
SPT(16)	1044525846391602581	0 2 42 48 66 68 86 116 222 252 270 272 290 296 336 338	1265468222424