Prime p₀= 3012928905895902347 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: Orange Kid
db: batch=82, k=10, 2 52 2 16 2

SPT(16)	3012927333789148717	0 22 42 54 64 82 112 120 166 174 204 222 232 244 264 286	-1572106753630
STPT(10)	3012928042893493097	0 2 90 92 102 104 114 116 204 206	-863002409250
SPT(16)	3012928188671593663	0 28 64 100 118 120 154 168 190 204 238 240 258 294 330 358	-717224308684
STPT(10)	3012928287954496991	0 2 30 32 78 80 126 128 156 158	-617941405356
STPT(10)	3012928529309410331	0 2 6 8 48 50 90 92 96 98	-376586492016
SPT(18)	3012928607814550753	0 58 76 94 96 118 130 180 196 198 214 264 276 298 300 318 336 394	-298081351594
STPT(10)	3012928975561820657	0 2 24 26 42 44 60 62 84 86	69665918310
STPT(10)	3012929023097703287	0 2 30 32 42 44 54 56 84 86	117201800940
SPT(16)	3012929166636456973	0 10 58 66 70 78 120 136 210 226 268 276 280 288 336 346	260740554626
STPT(10)	3012929659692181037	0 2 54 56 72 74 90 92 144 146	753796278690
SPT(16)	3012929810321774339	0 20 24 54 90 98 104 110 318 324 330 338 374 404 408 428	904425871992