Prime p₀= 1268697942743035307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: biodoc
db: batch=77, k=10, 2 22 2 16 2

STPT(10)	1268696758796815631	0 2 6 8 48 50 90 92 96 98	-1183946219676
STPT(10)	1268697167265856589	0 2 48 50 60 62 72 74 120 122	-775477178718
SPT(16)	1268697225001930259	0 8 32 78 92 120 128 230 252 354 362 390 404 450 474 482	-717741105048
SPT(16)	1268697690843104239	0 22 112 144 172 190 202 204 208 210 222 240 268 300 390 412	-251899931068
STPT(10)	1268697809001522761	0 2 36 38 78 80 120 122 156 158	-133741512546
STPT(10)	1268697931982521217	0 2 60 62 72 74 84 86 144 146	-10760514090
SPT(16)	1268698166357476157	0 14 24 32 42 80 92 102 164 174 186 224 234 242 252 266	223614440850
SPT(16)	1268698829460715847	0 6 42 74 132 146 152 174 242 264 270 284 342 374 410 416	886717680540
SPT(16)	1268699292476811001	0 70 102 156 202 288 318 340 468 490 520 606 652 706 738 808	1349733775694
STPT(10)	1268699463986644367	0 2 30 32 42 44 54 56 84 86	1521243609060
SPT(16)	1268700029573654983	0 6 30 64 90 96 100 114 130 144 148 154 180 214 238 244	2086830619676