Prime p₀= 798766574549709131 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Theadalus
db: batch=73, k=10, 2 34 2 40 2

TPT(14)	798765408382905371	0 2 36 38 48 50 126 128 156 158 198 200 246 248	-1166166803760
STPT(10)	798765935974936751	0 2 6 8 48 50 90 92 96 98	-638574772380
SPT(16)	798766156844979341	0 32 36 50 102 110 120 132 140 152 162 170 222 236 240 272	-417704729790
STPT(10)	798766167126154187	0 2 30 32 120 122 210 212 240 242	-407423554944
SPT(16)	798766323841519841	0 30 80 86 98 110 212 222 236 246 348 360 372 378 428 458	-250708189290
SPT(16)	798766428114252749	0 20 32 50 84 104 134 144 170 180 210 230 264 282 294 314	-146435456382
TPT(14)	798766788705812219	0 2 18 20 72 74 102 104 138 140 150 152 192 194	214156103088
SPT(16)	798766957143978457	0 24 42 52 76 94 130 144 412 426 462 480 504 514 532 556	382594269326
STPT(10)	798767654377654457	0 2 60 62 72 74 84 86 144 146	1079827945326
SPT(16)	798767842276414393	0 6 48 54 60 70 94 106 108 120 144 154 160 166 208 214	1267726705262
STPT(10)	798768121395094769	0 2 78 80 120 122 162 164 240 242	1546845385638