Prime p₀= 2404901203210976471 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: Josemi
db: batch=82, k=10, 2 64 2 70 2

SPT(16)	2404900192823585819	0 14 42 92 134 152 162 174 350 362 372 390 432 482 510 524	-1010387390652
STPT(10)	2404900314535883531	0 2 6 8 48 50 90 92 96 98	-888675092940
TPT(14)	2404900331987043659	0 2 30 32 168 170 228 230 312 314 348 350 378 380	-871223932812
TPT(14)	2404900376256218117	0 2 30 32 102 104 210 212 264 266 294 296 312 314	-826954758354
STPT(10)	2404900592323486247	0 2 12 14 72 74 132 134 144 146	-610887490224
STPT(10)	2404901172593531147	0 2 30 32 42 44 54 56 84 86	-30617445324
STPT(10)	2404901339321906939	0 2 48 50 90 92 132 134 180 182	136110930468
SPT(16)	2404901349334663339	0 28 40 70 72 90 102 118 222 238 250 268 270 300 312 340	146123686868
SPT(16)	2404901528454328381	0 10 22 46 88 90 102 112 126 136 148 150 192 216 228 238	325243351910
SPT(16)	2404901695793597057	0 2 14 50 80 84 92 96 110 114 122 126 156 192 204 206	492582620586
SPT(16)	2404901779415238581	0 8 30 80 86 128 162 168 200 206 240 282 288 338 360 368	576204262110