Prime p₀= 5537949328304977 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 6 4 26 10 20 22 20 10 26 4 6 6 (?)
a_n: 0 6 12 16 42 52 72 94 114 124 150 154 160 166
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: 166
Found by: Egon olsen
db: batch=62, k=14, 6 6 4 26 10 20 22

SPT(14)	5537908766203133	0 8 14 20 48 50 78 80 108 110 138 144 150 158	-40562101844
STPT(10)	5537912590928447	0 2 30 32 72 74 114 116 144 146	-36737376530
SPT(14)	5537923600798937	0 60 84 96 110 140 152 174 186 216 230 242 266 326	-25727506040
SPT(14)	5537927360876593	0 28 60 64 78 96 144 250 298 316 330 334 366 394	-21967428384
SPT(14)	5537938152077483	0 8 14 20 38 50 84 104 138 150 168 174 180 188	-11176227494
SPT(14)	5537943624426637	0 30 64 76 90 102 106 180 184 196 210 222 256 286	-5703878340
SPT(14)	5537963483510329	0 28 34 42 48 58 84 88 114 124 130 138 144 172	14155205352
SPT(14)	5537976744310961	0 30 32 96 122 132 186 236 290 300 326 390 392 422	27416005984
SPT(14)	5537978100911063	0 8 36 48 78 90 104 120 134 146 176 188 216 224	28772606086
TPT(12)	5537985897307637	0 2 72 74 90 92 102 104 114 116 132 134	36569002660
STPT(10)	5537985897307709	0 2 18 20 30 32 42 44 60 62	36569002732