Prime p₀= 2413149162701462597 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: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2413148021833777421	0 20 56 96 110 180 218 246 272 300 338 408 422 462 498 518	-1140867685176
STPT(10)	2413148359659305627	0 2 60 62 102 104 144 146 204 206	-803042156970
STPT(10)	2413148451708615149	0 2 42 44 90 92 138 140 180 182	-710992847448
STPT(10)	2413148486526786959	0 2 18 20 30 32 42 44 60 62	-676174675638
STPT(10)	2413148527728750179	0 2 18 20 30 32 42 44 60 62	-634972712418
TPT(14)	2413148896276933457	0 2 24 26 54 56 144 146 192 194 222 224 294 296	-266424529140
SPT(16)	2413149409322479777	0 22 96 166 232 312 334 336 340 342 364 444 510 580 654 676	246621017180
SPT(16)	2413149624569125747	0 4 16 40 42 112 130 142 144 156 174 244 246 270 282 286	461867663150
SPT(16)	2413150011766747703	0 6 50 60 80 108 116 120 146 150 158 186 206 216 260 266	849065285106
STPT(10)	2413150161397732739	0 2 12 14 90 92 168 170 180 182	998696270142
SPT(16)	2413150370252539153	0 88 124 148 228 264 274 288 340 354 364 400 480 504 540 628	1207551076556