Prime p₀= 1404038747107541297 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)	1404037956052371371	0 6 8 50 90 98 110 116 162 168 180 188 228 270 272 278	-791055169926
TPT(14)	1404038125797363167	0 2 72 74 150 152 210 212 234 236 312 314 324 326	-621310178130
SPT(16)	1404038234396010667	0 94 102 112 124 154 172 282 292 402 420 450 462 472 480 574	-512711530630
SPT(16)	1404038414837212939	0 30 72 82 100 148 198 210 250 262 312 360 378 388 430 460	-332270328358
TPT(14)	1404038594812751759	0 2 30 32 78 80 120 122 210 212 288 290 330 332	-152294789538
TPT(14)	1404038629037167307	0 2 60 62 90 92 132 134 162 164 174 176 240 242	-118070373990
SPT(16)	1404038758378944937	0 16 30 60 112 126 142 156 160 174 190 204 256 286 300 316	11271403640
SPT(16)	1404039171698339909	0 14 74 110 222 258 314 318 344 348 404 440 552 588 648 662	424590798612
STPT(10)	1404039188450479127	0 2 30 32 42 44 54 56 84 86	441342937830
STPT(10)	1404039326918259149	0 2 18 20 30 32 42 44 60 62	579810717852
TPT(14)	1404039447074177477	0 2 12 14 90 92 132 134 180 182 210 212 300 302	699966636180