Prime p₀= 2499274733136132737 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: JayPi
db: batch=82, k=10, 2 28 2 88 2

SPT(16)	2499272742583396699	0 12 28 40 52 54 108 142 150 184 238 240 252 264 280 292	-1990552736038
SPT(16)	2499272922621698389	0 18 70 88 90 102 118 132 148 162 178 190 192 210 262 280	-1810514434348
STPT(10)	2499273137107564787	0 2 30 32 72 74 114 116 144 146	-1596028567950
STPT(10)	2499273435767096039	0 2 18 20 30 32 42 44 60 62	-1297369036698
STPT(10)	2499273451771274987	0 2 12 14 42 44 72 74 84 86	-1281364857750
SPT(16)	2499274516584271271	0 2 20 26 30 32 48 72 86 110 126 128 132 138 156 158	-216551861466
STPT(10)	2499275100678111317	0 2 42 44 72 74 102 104 144 146	367541978580
SPT(16)	2499275103084673387	0 96 132 136 162 166 192 246 250 304 330 334 360 364 400 496	369948540650
SPT(16)	2499275342683615571	0 32 50 66 260 270 320 330 392 402 452 462 656 672 690 722	609547482834
SPT(16)	2499275388508712563	0 16 54 106 120 126 150 156 178 184 208 214 228 280 318 334	655372579826
STPT(10)	2499275462426233259	0 2 18 20 30 32 42 44 60 62	729290100522