Prime p₀= 1040137728749749787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 222 224 264 266
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: 266
Found by: [SG-2W]Kurzer
db: batch=76, k=10, 2 40 2 88 2

SPT(16)	1040136857121832471	0 16 28 36 60 70 96 100 126 130 156 166 190 198 210 226	-871627917316
STPT(10)	1040136862853511299	0 2 30 32 60 62 90 92 120 122	-865896238488
SPT(16)	1040137044122406469	0 52 54 64 72 94 120 130 162 172 198 220 228 238 240 292	-684627343318
STPT(10)	1040137120480067537	0 2 54 56 72 74 90 92 144 146	-608269682250
STPT(10)	1040137247060619599	0 2 48 50 90 92 132 134 180 182	-481689130188
SPT(16)	1040137666847753093	0 6 20 26 36 86 140 156 158 174 228 278 288 294 308 314	-61901996694
SPT(16)	1040138431724863741	0 40 48 88 100 118 132 142 228 238 252 270 282 322 330 370	702975113954
TPT(14)	1040138679957475097	0 2 30 32 60 62 84 86 264 266 270 272 354 356	951207725310
STPT(10)	1040138707006641659	0 2 18 20 30 32 42 44 60 62	978256891872
STPT(10)	1040138722405677449	0 2 18 20 60 62 102 104 120 122	993655927662
SPT(16)	1040138822697937891	0 22 40 52 60 66 96 106 126 136 166 172 180 192 210 232	1093948188104