Prime p₀= 954186727517807237 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: Theadalus
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	954185073219204313	0 18 28 54 64 88 120 160 258 298 330 354 364 390 400 418	-1654298602924
STPT(10)	954185495055218981	0 2 36 38 78 80 120 122 156 158	-1232462588256
SPT(16)	954185608690423807	0 40 42 64 66 90 120 124 132 136 166 190 192 214 216 256	-1118827383430
STPT(10)	954185995793078897	0 2 30 32 60 62 90 92 120 122	-731724728340
SPT(16)	954185996788328287	0 12 16 34 46 76 90 100 156 166 180 210 222 240 244 256	-730729478950
SPT(16)	954186028635761617	0 12 24 42 120 132 166 190 306 330 364 376 454 472 484 496	-698882045620
SPT(16)	954186743736078319	0 10 24 48 54 60 82 108 154 180 202 208 214 238 252 262	16218271082
STPT(10)	954186818336906459	0 2 42 44 90 92 138 140 180 182	90819099222
STPT(10)	954186969334727699	0 2 18 20 30 32 42 44 60 62	241816920462
SPT(16)	954186970061745047	0 26 56 62 66 84 90 102 104 116 122 140 144 150 180 206	242543937810
SPT(16)	954186976197360749	0 12 50 68 98 162 174 180 182 188 200 264 294 312 350 362	248679553512