Prime p₀= 1006091983589487461 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: Theadalus
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	1006091419768119127	0 24 34 42 84 94 106 156 190 240 252 262 304 312 322 346	-563821368334
STPT(10)	1006091532649384331	0 2 66 68 138 140 210 212 276 278	-450940103130
SPT(16)	1006091594611999157	0 6 96 104 120 126 162 176 300 314 350 356 372 380 470 476	-388977488304
STPT(10)	1006091645701824677	0 2 30 32 72 74 114 116 144 146	-337887662784
SPT(16)	1006091871169058503	0 16 58 100 118 124 126 166 198 238 240 246 264 306 348 364	-112420428958
SPT(16)	1006091952422872951	0 6 30 70 76 100 130 132 136 138 168 192 198 238 262 268	-31166614510
STPT(10)	1006092189590260559	0 2 48 50 90 92 132 134 180 182	206000773098
SPT(16)	1006092801862199291	0 8 32 38 60 78 102 122 168 188 212 230 252 258 282 290	818272711830
SPT(16)	1006092843641891839	0 18 22 30 40 58 78 82 210 214 234 252 262 270 274 292	860052404378
STPT(10)	1006092922447258871	0 2 36 38 78 80 120 122 156 158	938857771410
TPT(14)	1006093014668016467	0 2 24 26 84 86 90 92 162 164 174 176 210 212	1031078529006