Prime p₀= 3216213291155027027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: Ben
db: batch=83, k=10, 2 10 2 58 2

STPT(12)	3216212609897110559	0 2 30 32 72 74 108 110 150 152 180 182	-681257916468
TPT(14)	3216212609897110559	0 2 30 32 72 74 108 110 150 152 180 182 192 194	-681257916468
STPT(10)	3216212627820178001	0 2 36 38 78 80 120 122 156 158	-663334849026
STPT(10)	3216212654965637111	0 2 36 38 78 80 120 122 156 158	-636189389916
TPT(14)	3216212818940134229	0 2 12 14 30 32 60 62 72 74 102 104 192 194	-472214892798
SPT(16)	3216212880128370277	0 16 22 46 70 82 100 114 262 276 294 306 330 354 360 376	-411026656750
SPT(16)	3216213415689270421	0 42 52 78 90 118 130 220 228 318 330 358 370 396 406 448	124534243394
SPT(16)	3216214094387188793	0 38 84 96 170 204 216 264 290 338 350 384 458 470 516 554	803232161766
SPT(16)	3216214358877884393	0 18 38 50 80 86 96 150 254 308 318 324 354 366 386 404	1067722857366
SPT(16)	3216214474047564841	0 60 78 108 126 130 132 148 150 166 168 172 190 220 238 298	1182892537814
SPT(16)	3216214753877371289	0 38 68 80 92 98 110 162 170 222 234 240 252 264 294 332	1462722344262