Prime p₀= 2068060009803749111 starts a Symmetric tuple of 14 consecutive primes, which form 7 twin primes (STPT).
d_n: 0 2 64 2 58 2 10 2 10 2 58 2 64 2 (?)
a_n: 0 2 66 68 126 128 138 140 150 152 210 212 276 278
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 278
Found by: Landjunge
db: batch=80, k=14, 2 64 2 58 2 10 2

STPT(10)	2068059192877050509	0 2 42 44 90 92 138 140 180 182	-816926698602
SPT(16)	2068059217605322741	0 10 18 42 60 78 90 108 112 130 142 160 178 202 210 220	-792198426370
SPT(16)	2068059566213893411	0 42 90 108 112 118 126 136 162 172 180 186 190 208 256 298	-443589855700
SPT(16)	2068059631527820537	0 12 40 52 54 96 132 136 150 154 190 232 234 246 274 286	-378275928574
TPT(16)	2068059977619753827	0 2 12 14 54 56 84 86 90 92 150 152 222 224 264 266	-32183995284
SPT(16)	2068060009803749057	0 54 56 120 122 180 182 192 194 204 206 264 266 330 332 386	-54
TPT(14)	2068060009803749111	0 2 66 68 126 128 138 140 150 152 210 212 276 278	0
TPT(14)	2068060073559445349	0 2 60 62 102 104 138 140 192 194 222 224 228 230	63755696238
STPT(10)	2068060098915674861	0 2 6 8 48 50 90 92 96 98	89111925750
STPT(10)	2068060435055407547	0 2 60 62 72 74 84 86 144 146	425251658436
STPT(10)	2068060554349916219	0 2 30 32 60 62 90 92 120 122	544546167108