Prime p₀= 853650097674628621 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 52 26 4 44 30 12 10 2 10 12 30 44 4 26 52 (?)
a_n: 0 52 78 82 126 156 168 178 180 190 202 232 276 280 306 358
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: 358
Found by: Vitalii Koshura
db: batch=73, k=16, 52 26 4 44 30 12 10 2

SPT(16)	853648853705683283	0 44 50 56 66 84 128 146 198 216 260 278 288 294 300 344	-1243968945338
STPT(10)	853648906180040429	0 2 18 20 30 32 42 44 60 62	-1191494588192
STPT(10)	853649849338364579	0 2 48 50 90 92 132 134 180 182	-248336264042
SPT(16)	853649962539420041	0 8 86 92 128 186 228 300 338 410 452 510 546 552 630 638	-135135208580
SPT(16)	853649962597984109	0 38 50 60 84 108 140 150 242 252 284 308 332 342 354 392	-135076644512
TPT(14)	853649996021109149	0 2 18 20 78 80 132 134 228 230 300 302 330 332	-101653519472
SPT(16)	853650171615274193	0 20 26 68 86 90 96 108 146 158 164 168 186 228 234 254	73940645572
STPT(10)	853650236958002987	0 2 24 26 42 44 60 62 84 86	139283374366
TPT(14)	853650269467136591	0 2 6 8 30 32 48 50 90 92 156 158 258 260	171792507970
STPT(10)	853650366126828197	0 2 54 56 72 74 90 92 144 146	268452199576
SPT(16)	853650838345394923	0 66 70 78 84 88 148 150 184 186 246 250 256 264 268 334	740670766302