Prime p₀= 2678309877181629671 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: [SG-2W]Kurzer
db: batch=82, k=10, 2 34 2 40 2

TPT(14)	2678308186336928417	0 2 24 26 72 74 114 116 150 152 294 296 360 362	-1690844701254
SPT(16)	2678308250265469909	0 24 52 84 112 114 148 168 274 294 328 330 358 390 418 442	-1626916159762
STPT(12)	2678308422295136441	0 2 18 20 30 32 96 98 108 110 126 128	-1454886493230
TPT(14)	2678308422295136441	0 2 18 20 30 32 96 98 108 110 126 128 180 182	-1454886493230
STPT(10)	2678309511094741367	0 2 30 32 42 44 54 56 84 86	-366086888304
STPT(10)	2678309742514846511	0 2 36 38 78 80 120 122 156 158	-134666783160
SPT(16)	2678310491503108303	0 24 28 30 88 114 118 150 238 270 274 300 358 360 364 388	614321478632
SPT(16)	2678310985247867219	0 42 48 104 120 158 162 180 182 200 204 242 258 314 320 362	1108066237548
SPT(16)	2678311156079961799	0 18 22 28 42 90 118 150 172 204 232 280 294 300 304 322	1278898332128
STPT(10)	2678311847502710327	0 2 30 32 42 44 54 56 84 86	1970321080656
STPT(10)	2678311934455743401	0 2 6 8 48 50 90 92 96 98	2057274113730