Prime p₀= 1585226733730527887 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: crashtech
db: batch=78, k=10, 2 22 2 16 2

STPT(10)	1585224739877654171	0 2 6 8 18 20 30 32 36 38	-1993852873716
SPT(16)	1585224754249987399	0 40 52 54 82 108 162 204 208 250 304 330 358 360 372 412	-1979480540488
SPT(16)	1585224851564888671	0 16 40 96 102 112 130 132 166 168 186 196 202 258 282 298	-1882165639216
STPT(10)	1585225961247000197	0 2 30 32 72 74 114 116 144 146	-772483527690
STPT(10)	1585226315738467229	0 2 18 20 60 62 102 104 120 122	-417992060658
SPT(16)	1585226518105316227	0 42 52 60 142 144 220 264 280 324 400 402 484 492 502 544	-215625211660
SPT(16)	1585226755421680909	0 4 10 24 48 54 88 108 154 174 208 214 238 252 258 262	21691153022
SPT(16)	1585227156329333903	0 18 44 80 96 170 176 180 224 228 234 308 324 360 386 404	422598806016
SPT(16)	1585227527469964457	0 24 30 36 66 72 74 92 114 132 134 140 170 176 182 206	793739436570
SPT(16)	1585227702281512819	0 4 40 48 52 144 160 190 192 222 238 330 334 342 378 382	968550984932
STPT(10)	1585227738639964589	0 2 42 44 60 62 78 80 120 122	1004909436702