Prime p₀= 2089897866122417171 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: MarkRBright
db: batch=80, k=10, 2 4 2 10 2

STPT(10)	2089896835826102999	0 2 12 14 90 92 168 170 180 182	-1030296314172
SPT(18)	2089897037397314347	0 46 54 72 76 82 90 156 166 300 310 376 384 390 394 412 420 466	-828725102824
TPT(14)	2089897334370673391	0 2 18 20 90 92 210 212 306 308 348 350 378 380	-531751743780
SPT(16)	2089897420742043179	0 38 44 50 60 72 78 108 134 164 170 182 192 198 204 242	-445380373992
TPT(14)	2089897599080888249	0 2 120 122 240 242 252 254 300 302 312 314 342 344	-267041528922
STPT(10)	2089897672484108561	0 2 6 8 48 50 90 92 96 98	-193638308610
TPT(14)	2089898139088390529	0 2 90 92 132 134 138 140 150 152 162 164 288 290	272965973358
TPT(14)	2089898243399051621	0 2 18 20 48 50 90 92 96 98 126 128 156 158	377276634450
STPT(10)	2089898311837637627	0 2 42 44 72 74 102 104 144 146	445715220456
TPT(14)	2089898481524651099	0 2 12 14 30 32 42 44 78 80 120 122 252 254	615402233928
SPT(16)	2089898560948231757	0 6 50 62 126 150 162 170 216 224 236 260 324 336 380 386	694825814586