Prime p₀= 2591389309824652061 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: biodoc
db: batch=82, k=10, 2 4 2 40 2

SPT(16)	2591388562907890019	0 24 30 32 44 60 204 224 270 290 434 450 462 464 470 494	-746916762042
STPT(10)	2591388580848359177	0 2 30 32 42 44 54 56 84 86	-728976292884
STPT(12)	2591388675778982447	0 2 12 14 90 92 132 134 210 212 222 224	-634045669614
SPT(16)	2591388808667758003	0 46 90 100 126 130 156 196 300 340 366 370 396 406 450 496	-501156894058
STPT(10)	2591389060829743589	0 2 48 50 60 62 72 74 120 122	-248994908472
SPT(16)	2591389235625554621	0 36 138 158 162 176 180 182 186 188 192 206 210 230 332 368	-74199097440
SPT(16)	2591389973604244961	0 2 56 78 102 108 110 128 150 168 170 176 200 222 276 278	663779592900
STPT(12)	2591390618967765467	0 2 54 56 114 116 180 182 240 242 294 296	1309143113406
SPT(16)	2591390683333821041	0 38 78 80 212 228 248 252 446 450 470 486 618 620 660 698	1373509168980
SPT(16)	2591390886939636337	0 10 34 66 136 142 156 166 210 220 234 240 310 342 366 376	1577114984276
SPT(16)	2591391020865682121	0 32 72 108 158 168 182 186 272 276 290 300 350 386 426 458	1711041030060