Prime p₀= 969586747734995219 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 6 10 68 4 2 24 16 24 2 4 68 10 6 14 (?)
a_n: 0 14 20 30 98 102 104 128 144 168 170 174 242 252 258 272
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 272
Found by: HenkM
db: batch=76, k=16, 14 6 10 68 4 2 24 16

SPT(16)	969585466358386687	0 40 42 52 102 112 124 130 144 150 162 172 222 232 234 274	-1281376608532
STPT(10)	969585667919980091	0 2 78 80 138 140 198 200 276 278	-1079815015128
STPT(10)	969586110587650679	0 2 12 14 30 32 48 50 60 62	-637147344540
STPT(10)	969586242441480317	0 2 54 56 132 134 210 212 264 266	-505293514902
SPT(16)	969586287507546551	0 12 20 42 96 126 150 176 252 278 302 332 386 408 416 428	-460227448668
STPT(10)	969586361295772457	0 2 12 14 42 44 72 74 84 86	-386439222762
STPT(10)	969586759658466527	0 2 30 32 42 44 54 56 84 86	11923471308
STPT(10)	969586982907314711	0 2 30 32 60 62 90 92 120 122	235172319492
STPT(10)	969587098950348407	0 2 12 14 42 44 72 74 84 86	351215353188
STPT(12)	969587235017475029	0 2 48 50 60 62 168 170 180 182 228 230	487282479810
STPT(10)	969587774294263181	0 2 36 38 78 80 120 122 156 158	1026559267962