Prime p₀= 4305627373747347467 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: Chooka
db: batch=85, k=10, 2 28 2 10 2

SPT(16)	4305625259750001331	0 6 36 40 48 58 70 96 100 126 138 148 156 160 190 196	-2113997346136
SPT(18)	4305625546602409891	0 10 102 166 186 196 210 220 226 402 408 418 432 442 462 526 618 628	-1827144937576
TPT(14)	4305626204184789389	0 2 12 14 42 44 78 80 162 164 180 182 300 302	-1169562558078
STPT(10)	4305626312667629357	0 2 90 92 102 104 114 116 204 206	-1061079718110
STPT(10)	4305626731620394091	0 2 6 8 18 20 30 32 36 38	-642126953376
SPT(16)	4305627066810036049	0 4 10 24 40 52 82 84 148 150 180 192 208 222 228 232	-306937311418
STPT(10)	4305627988938749897	0 2 54 56 72 74 90 92 144 146	615191402430
SPT(16)	4305628016220013771	0 10 16 18 46 52 66 96 112 142 156 162 190 192 198 208	642472666304
STPT(10)	4305628088622454409	0 2 12 14 90 92 168 170 180 182	714875106942
STPT(10)	4305628263296419361	0 2 30 32 78 80 126 128 156 158	889549071894
SPT(16)	4305628422541357661	0 78 80 92 102 192 206 228 260 282 296 386 396 408 410 488	1048794010194