Prime p₀= 1404039188450479127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: matali
db: batch=78, k=10, 2 28 2 10 2

SPT(16)	1404038414837212939	0 30 72 82 100 148 198 210 250 262 312 360 378 388 430 460	-773613266188
TPT(14)	1404038594812751759	0 2 30 32 78 80 120 122 210 212 288 290 330 332	-593637727368
TPT(14)	1404038629037167307	0 2 60 62 90 92 132 134 162 164 174 176 240 242	-559413311820
STPT(10)	1404038747107541297	0 2 30 32 42 44 54 56 84 86	-441342937830
SPT(16)	1404038758378944937	0 16 30 60 112 126 142 156 160 174 190 204 256 286 300 316	-430071534190
SPT(16)	1404039171698339909	0 14 74 110 222 258 314 318 344 348 404 440 552 588 648 662	-16752139218
STPT(10)	1404039326918259149	0 2 18 20 30 32 42 44 60 62	138467780022
TPT(14)	1404039447074177477	0 2 12 14 90 92 132 134 180 182 210 212 300 302	258623698350
SPT(16)	1404039555032613407	0 6 54 60 126 146 156 240 266 350 360 380 446 452 500 506	366582134280
SPT(16)	1404039744671051809	0 34 52 94 114 124 132 208 294 370 378 388 408 450 468 502	556220572682
SPT(16)	1404040191941706857	0 6 96 146 180 194 206 222 224 240 252 266 300 350 440 446	1003491227730