Prime p₀= 813809350246687367 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: matsu_pl
db: batch=73, k=10, 2 40 2 28 2

SPT(16)	813808317969980467	0 40 82 96 114 142 220 270 346 396 474 502 520 534 576 616	-1032276706900
SPT(16)	813808330701185761	0 16 42 90 100 112 130 132 166 168 186 198 208 256 282 298	-1019545501606
SPT(16)	813808332370469413	0 4 18 40 54 76 118 160 174 216 258 280 294 316 330 334	-1017876217954
SPT(16)	813808545748235153	0 8 20 36 68 78 96 110 114 128 146 156 188 204 216 224	-804498452214
TPT(14)	813808915211364659	0 2 30 32 42 44 108 110 168 170 228 230 252 254	-435035322708
SPT(16)	813809339142199181	0 36 48 62 68 92 146 152 216 222 276 300 306 320 332 368	-11104488186
STPT(10)	813809714608608071	0 2 6 8 48 50 90 92 96 98	364361920704
SPT(16)	813810175353313009	0 22 40 70 78 82 172 174 238 240 330 334 342 372 390 412	825106625642
STPT(10)	813810372543381467	0 2 42 44 72 74 102 104 144 146	1022296694100
STPT(10)	813810526886680199	0 2 30 32 60 62 90 92 120 122	1176639992832
STPT(12)	813810777691771709	0 2 12 14 42 44 78 80 108 110 120 122	1427445084342