Prime p₀= 2387500456878035657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Landjunge
db: batch=81, k=10, 2 28 2 40 2

SPT(13)	2387499568390554973	0 18 54 84 150 174 264 354 378 444 474 510 528	-888487480684
TPT(14)	2387499609593318411	0 2 6 8 36 38 48 50 90 92 156 158 228 230	-847284717246
STPT(10)	2387499817841449079	0 2 18 20 30 32 42 44 60 62	-639036586578
SPT(16)	2387500061425168489	0 70 120 132 142 148 154 268 294 408 414 420 430 442 492 562	-395452867168
SPT(16)	2387500146333458327	0 44 72 86 120 146 156 176 210 230 240 266 300 314 342 386	-310544577330
SPT(16)	2387500214740199467	0 30 46 72 90 96 124 126 130 132 160 166 184 210 226 256	-242137836190
SPT(16)	2387500641360728149	0 28 48 70 120 124 148 154 174 180 204 208 258 280 300 328	184482692492
STPT(10)	2387500677302874611	0 2 30 32 78 80 126 128 156 158	220424838954
SPT(16)	2387501321219791241	0 26 36 108 110 132 138 168 230 260 266 288 290 362 372 398	864341755584
STPT(10)	2387501412946637171	0 2 30 32 60 62 90 92 120 122	956068601514
STPT(10)	2387501487803712191	0 2 6 8 18 20 30 32 36 38	1030925676534