Prime p₀= 2302275690164151197 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: FritzB
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2302274816839626569	0 2 14 42 48 54 84 90 92 98 128 134 140 168 180 182	-873324524628
SPT(16)	2302274867248465757	0 20 26 74 84 102 116 146 300 330 344 362 372 420 426 446	-822915685440
SPT(16)	2302275068492290457	0 20 42 54 60 74 104 144 152 192 222 236 242 254 276 296	-621671860740
STPT(10)	2302275297424831271	0 2 6 8 48 50 90 92 96 98	-392739319926
STPT(10)	2302275414977698187	0 2 24 26 42 44 60 62 84 86	-275186453010
STPT(10)	2302275560037109841	0 2 30 32 60 62 90 92 120 122	-130127041356
SPT(16)	2302275748225755851	0 30 50 92 96 128 132 152 156 176 180 212 216 258 278 308	58061604654
SPT(16)	2302275800612156801	0 6 80 108 122 138 180 182 186 188 230 246 260 288 362 368	110448005604
SPT(16)	2302275805251177911	0 8 12 38 42 50 68 102 176 210 228 236 240 266 270 278	115087026714
SPT(16)	2302275832522538737	0 16 22 34 40 100 156 184 222 250 306 366 372 384 390 406	142358387540
STPT(10)	2302277106274462391	0 2 6 8 48 50 90 92 96 98	1416110311194