Prime p₀= 2309777309190198241 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 24 18 12 46 114 14 106 14 114 46 12 18 24 18 (?)
a_n: 0 18 42 60 72 118 232 246 352 366 480 526 538 556 580 598
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: 598
Found by: FritzB
db: batch=81, k=16, 18 24 18 12 46 114 14 106

SPT(16)	2309776056695038423	0 30 46 64 88 126 144 150 154 160 178 216 240 258 274 304	-1252495159818
SPT(16)	2309776238053127093	0 24 38 48 84 98 108 134 150 176 186 200 236 246 260 284	-1071137071148
STPT(10)	2309776360462962359	0 2 42 44 90 92 138 140 180 182	-948727235882
STPT(10)	2309776387431145067	0 2 30 32 42 44 54 56 84 86	-921759053174
STPT(12)	2309776517087558507	0 2 42 44 72 74 102 104 132 134 174 176	-792102639734
TPT(14)	2309777271770038709	0 2 60 62 90 92 132 134 198 200 210 212 240 242	-37420159532
STPT(10)	2309777329555676171	0 2 36 38 78 80 120 122 156 158	20365477930
STPT(10)	2309777659714782557	0 2 24 26 42 44 60 62 84 86	350524584316
STPT(10)	2309778189101130887	0 2 12 14 42 44 72 74 84 86	879910932646
STPT(10)	2309778192657008807	0 2 30 32 42 44 54 56 84 86	883466810566
SPT(16)	2309778559555946741	0 20 36 78 132 138 176 182 246 252 290 296 350 392 408 428	1250365748500