Prime p₀= 1590107677208655947 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: crashtech
db: batch=78, k=10, 2 22 2 16 2

SPT(16)	1590105623609335169	0 2 24 60 120 122 152 164 198 210 240 242 302 338 360 362	-2053599320778
STPT(10)	1590105855243934661	0 2 6 8 48 50 90 92 96 98	-1821964721286
STPT(10)	1590105911968618787	0 2 30 32 42 44 54 56 84 86	-1765240037160
SPT(16)	1590106971286181723	0 44 60 110 116 156 216 254 270 308 368 408 414 464 480 524	-705922474224
SPT(16)	1590107146845534851	0 8 30 36 42 50 72 102 146 176 198 206 212 218 240 248	-530363121096
STPT(10)	1590107331637303481	0 2 36 38 78 80 120 122 156 158	-345571352466
SPT(20)	1590107751804195427	0 12 66 154 166 220 222 244 280 426 430 576 612 634 636 690 702 790 844 856	74595539480
STPT(10)	1590107970166124807	0 2 30 32 72 74 114 116 144 146	292957468860
STPT(10)	1590108100121709431	0 2 6 8 48 50 90 92 96 98	422913053484
STPT(10)	1590108223687999787	0 2 30 32 72 74 114 116 144 146	546479343840
STPT(10)	1590108465152483987	0 2 60 62 72 74 84 86 144 146	787943828040