Prime p₀= 1124770688965425731 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 8 4 36 2 70 20 18 304 18 20 70 2 36 4 8 (?)
a_n: 0 8 12 48 50 120 140 158 462 480 500 570 572 608 612 620
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: 620
Found by: stoneageman
db: batch=76, k=16, 8 4 36 2 70 20 18 304

SPT(16)	1124769717682321099	0 58 70 72 82 90 114 124 198 208 232 240 250 252 264 322	-971283104632
STPT(10)	1124769983746912199	0 2 12 14 90 92 168 170 180 182	-705218513532
SPT(16)	1124770144987949827	0 16 42 54 76 100 126 202 204 280 306 330 352 364 390 406	-543977475904
SPT(16)	1124770202397814867	0 34 42 60 100 112 130 142 144 156 174 186 226 244 252 286	-486567610864
SPT(16)	1124770279128207161	0 36 38 48 60 66 80 132 176 228 242 248 260 270 272 308	-409837218570
STPT(10)	1124770533671750267	0 2 30 32 42 44 54 56 84 86	-155293675464
STPT(10)	1124770973284279427	0 2 12 14 42 44 72 74 84 86	284318853696
STPT(10)	1124771631979768217	0 2 30 32 42 44 54 56 84 86	943014342486
TPT(14)	1124772039514435601	0 2 156 158 168 170 186 188 240 242 258 260 330 332	1350549009870
SPT(16)	1124772382969292507	0 42 50 72 90 126 140 150 182 192 206 242 260 282 290 332	1694003866776
TPT(14)	1124772720882387011	0 2 78 80 156 158 240 242 276 278 288 290 336 338	2031916961280