Prime p₀= 1117632275409134039 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: crashtech
db: batch=76, k=10, 2 40 2 16 2

STPT(10)	1117631160467961281	0 2 6 8 18 20 30 32 36 38	-1114941172758
STPT(10)	1117631281698277847	0 2 54 56 72 74 90 92 144 146	-993710856192
STPT(10)	1117631316113688911	0 2 78 80 108 110 138 140 216 218	-959295445128
SPT(16)	1117631910132478703	0 8 36 84 86 140 158 216 308 366 384 438 440 488 516 524	-365276655336
TPT(14)	1117631960160992249	0 2 30 32 42 44 78 80 150 152 162 164 198 200	-315248141790
SPT(16)	1117632158760508267	0 6 16 22 84 114 154 172 174 192 232 262 324 330 340 346	-116648625772
SPT(16)	1117632276307073557	0 16 34 66 94 130 144 184 186 226 240 276 304 336 354 370	897939518
SPT(16)	1117632436510180183	0 6 10 48 84 94 106 108 136 138 150 160 196 234 238 244	161101046144
STPT(12)	1117632586426426949	0 2 72 74 102 104 138 140 168 170 240 242	311017292910
TPT(14)	1117632785901201509	0 2 18 20 30 32 42 44 78 80 90 92 102 104	510492067470
STPT(12)	1117632785901201527	0 2 12 14 24 26 60 62 72 74 84 86	510492067488