Prime p₀= 754008553789236917 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: gemini8
db: batch=73, k=10, 2 40 2 88 2

SPT(16)	754007539668935171	0 26 32 42 78 92 110 156 242 288 306 320 356 366 372 398	-1014120301746
STPT(10)	754007621519656289	0 2 30 32 60 62 90 92 120 122	-932269580628
SPT(16)	754007752935823657	0 12 52 64 66 82 94 112 174 192 204 220 222 234 274 286	-800853413260
SPT(16)	754007822095697431	0 48 52 108 142 168 268 282 286 300 400 426 460 516 520 568	-731693539486
SPT(16)	754008315246857381	0 6 12 18 36 68 96 126 152 182 210 242 260 266 272 278	-238542379536
STPT(10)	754008484499903777	0 2 42 44 72 74 102 104 144 146	-69289333140
STPT(10)	754008711878148227	0 2 54 56 72 74 90 92 144 146	158088911310
STPT(12)	754008821245511729	0 2 30 32 42 44 60 62 72 74 102 104	267456274812
STPT(10)	754009518886740089	0 2 78 80 120 122 162 164 240 242	965097503172
STPT(10)	754009668595833899	0 2 18 20 30 32 42 44 60 62	1114806596982
SPT(16)	754010489127921847	0 6 42 94 100 120 150 216 220 286 316 336 342 394 430 436	1935338684930