Prime p₀= 3002401009483516367 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)	3002399173846361281	0 42 76 90 126 186 256 298 420 462 532 592 628 642 676 718	-1835637155086
STPT(10)	3002399176537180487	0 2 12 14 42 44 72 74 84 86	-1832946335880
STPT(10)	3002399591587382669	0 2 12 14 90 92 168 170 180 182	-1417896133698
SPT(16)	3002399753811570961	0 30 46 52 70 102 160 168 220 228 286 318 336 342 358 388	-1255671945406
SPT(16)	3002400297537113743	0 28 34 40 54 78 84 90 118 124 130 154 168 174 180 208	-711946402624
SPT(16)	3002400500499078473	0 20 26 54 68 78 86 110 114 138 146 156 170 198 204 224	-508984437894
SPT(16)	3002401192875651101	0 20 30 38 108 150 168 216 230 278 296 338 408 416 426 446	183392134734
STPT(10)	3002401544340479339	0 2 42 44 60 62 78 80 120 122	534856962972
SPT(16)	3002402428840365251	0 50 68 86 108 192 218 228 260 270 296 380 402 420 438 488	1419356848884
STPT(10)	3002402752105637717	0 2 42 44 72 74 102 104 144 146	1742622121350
STPT(10)	3002402987666262767	0 2 30 32 72 74 114 116 144 146	1978182746400