Prime p₀= 2113288382204939879 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Paul
db: batch=80, k=10, 2 28 2 28 2

STPT(10)	2113287319359569777	0 2 30 32 72 74 114 116 144 146	-1062845370102
STPT(10)	2113287542217712037	0 2 60 62 72 74 84 86 144 146	-839987227842
STPT(10)	2113287559913239469	0 2 12 14 90 92 168 170 180 182	-822291700410
SPT(16)	2113287992361048331	0 28 36 48 72 78 112 132 136 156 190 196 220 232 240 268	-389843891548
SPT(16)	2113287993808606127	0 2 36 44 102 132 156 182 234 260 284 314 372 380 414 416	-388396333752
STPT(10)	2113288047033879887	0 2 42 44 132 134 222 224 264 266	-335171059992
SPT(16)	2113288386861477599	0 60 74 90 98 132 140 152 210 222 230 264 272 288 302 362	4656537720
SPT(18)	2113288610554084697	0 6 30 42 66 84 132 182 222 224 264 314 362 380 404 416 440 446	228349144818
SPT(16)	2113288673582247037	0 4 6 10 66 142 154 220 276 342 354 430 486 490 492 496	291377307158
STPT(10)	2113288793592841619	0 2 18 20 30 32 42 44 60 62	411387901740
SPT(16)	2113288805532833839	0 22 54 60 84 100 108 130 162 184 192 208 232 238 270 292	423327893960