Prime p₀= 1214023033892645477 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 16 2 40 2 58 2 4 2 100 2 (?)
a_n: 0 2 54 56 72 74 114 116 174 176 180 182 282 284
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 284
Found by: xii5ku
db: batch=77, k=14, 52 16 40 58 4 100

SPT(16)	1214021277575670059	0 18 30 38 72 108 152 168 182 198 242 278 312 320 332 350	-1756316975418
TPT(14)	1214021474159596931	0 2 6 8 36 38 78 80 90 92 138 140 168 170	-1559733048546
STPT(10)	1214021674808210531	0 2 6 8 48 50 90 92 96 98	-1359084434946
STPT(10)	1214021801820110597	0 2 30 32 42 44 54 56 84 86	-1232072534880
STPT(10)	1214022129523642301	0 2 30 32 78 80 126 128 156 158	-904369003176
SPT(16)	1214022462526494557	0 30 32 60 66 72 132 146 150 164 224 230 236 264 266 296	-571366150920
SPT(16)	1214023824615171971	0 32 36 48 102 120 122 146 162 186 188 206 260 272 276 308	790722526494
STPT(10)	1214023928850397667	0 2 30 32 72 74 114 116 144 146	894957752190
SPT(16)	1214023950865601119	0 4 60 100 138 142 144 168 184 208 210 214 252 292 348 352	916972955642
STPT(10)	1214024351742013937	0 2 30 32 72 74 114 116 144 146	1317849368460
STPT(10)	1214024592531688907	0 2 54 56 72 74 90 92 144 146	1558639043430