Prime p₀= 2678309511094741367 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: [SG-2W]Kurzer
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2678307916698255979	0 40 64 70 90 154 174 228 274 328 348 412 432 438 462 502	-1594396485388
STPT(10)	2678308174158364211	0 2 36 38 78 80 120 122 156 158	-1336936377156
TPT(14)	2678308186336928417	0 2 24 26 72 74 114 116 150 152 294 296 360 362	-1324757812950
SPT(16)	2678308250265469909	0 24 52 84 112 114 148 168 274 294 328 330 358 390 418 442	-1260829271458
STPT(12)	2678308422295136441	0 2 18 20 30 32 96 98 108 110 126 128	-1088799604926
TPT(14)	2678308422295136441	0 2 18 20 30 32 96 98 108 110 126 128 180 182	-1088799604926
STPT(10)	2678309742514846511	0 2 36 38 78 80 120 122 156 158	231420105144
STPT(10)	2678309877181629671	0 2 36 38 78 80 120 122 156 158	366086888304
SPT(16)	2678310491503108303	0 24 28 30 88 114 118 150 238 270 274 300 358 360 364 388	980408366936
SPT(16)	2678310985247867219	0 42 48 104 120 158 162 180 182 200 204 242 258 314 320 362	1474153125852
SPT(16)	2678311156079961799	0 18 22 28 42 90 118 150 172 204 232 280 294 300 304 322	1644985220432