Prime p₀= 1011349205375352527 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 78 26 6 30 58 30 68 30 58 30 6 26 78 6 (?)
a_n: 0 6 84 110 116 146 204 234 302 332 390 420 426 452 530 536
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: 536
Found by: HenkM
db: batch=76, k=16, 6 78 26 6 30 58 30 68

SPT(16)	1011347070966337649	0 12 20 68 78 90 108 122 330 344 362 374 384 432 440 452	-2134409014878
STPT(10)	1011347201618135267	0 2 30 32 72 74 114 116 144 146	-2003757217260
TPT(14)	1011347501312887547	0 2 84 86 144 146 222 224 312 314 462 464 480 482	-1704062464980
STPT(10)	1011347791835453489	0 2 18 20 30 32 42 44 60 62	-1413539899038
STPT(10)	1011348088648150397	0 2 42 44 72 74 102 104 144 146	-1116727202130
TPT(14)	1011348896954986589	0 2 60 62 102 104 108 110 138 140 198 200 228 230	-308420365938
STPT(10)	1011349356869469659	0 2 18 20 30 32 42 44 60 62	151494117132
SPT(16)	1011349460464352833	0 10 28 64 66 90 96 106 108 118 124 148 150 186 204 214	255089000306
TPT(14)	1011349826811764591	0 2 6 8 30 32 48 50 60 62 90 92 138 140	621436412064
STPT(10)	1011349845582452939	0 2 12 14 90 92 168 170 180 182	640207100412
SPT(18)	1011350522682217427	0 30 42 50 62 72 80 90 146 150 206 216 224 234 246 254 266 296	1317306864900