Prime p₀= 4387584359707651769 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Autofuzzy
db: batch=85, k=10, 2 16 2 40 2

SPT(16)	4387583252767355461	0 18 22 42 58 60 106 130 168 192 238 240 256 276 280 298	-1106940296308
STPT(10)	4387583259425536139	0 2 48 50 90 92 132 134 180 182	-1100282115630
STPT(10)	4387583715086406761	0 2 36 38 108 110 180 182 216 218	-644621245008
SPT(16)	4387584032966648243	0 6 14 48 98 104 140 158 186 204 240 246 296 330 338 344	-326741003526
SPT(16)	4387584044165189669	0 18 32 68 90 110 158 204 278 324 372 392 414 450 464 482	-315542462100
SPT(16)	4387584185910391537	0 12 126 172 210 214 232 234 352 354 372 376 414 460 574 586	-173797260232
SPT(16)	4387584539276442319	0 18 30 60 102 124 154 160 222 228 258 280 322 352 364 382	179568790550
SPT(16)	4387584616393525979	0 14 42 80 98 132 224 230 252 258 350 384 402 440 468 482	256685874210
STPT(10)	4387585313976089471	0 2 36 38 78 80 120 122 156 158	954268437702
TPT(14)	4387585355638188329	0 2 90 92 138 140 222 224 288 290 300 302 348 350	995930536560
STPT(12)	4387585961810620409	0 2 12 14 42 44 120 122 150 152 162 164	1602102968640