Prime p₀= 2664057267972561029 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 82 2 28 2 124 2 22 2 (?)
a_n: 0 2 30 32 48 50 132 134 162 164 288 290 312 314
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: 314
Found by: biodoc
db: batch=82, k=14, 28 16 82 28 124 22

SPT(18)	2664056130215049319	0 10 12 40 52 54 70 78 88 144 154 162 178 180 192 220 222 232	-1137757511710
SPT(16)	2664056172783493447	0 12 46 66 102 112 156 172 204 220 264 274 310 330 364 376	-1095189067582
SPT(16)	2664056247430978459	0 52 54 70 72 78 108 120 142 154 184 190 192 208 210 262	-1020541582570
SPT(16)	2664056526800992289	0 30 42 68 74 84 108 170 222 284 308 318 324 350 362 392	-741171568740
STPT(12)	2664056853625693739	0 2 12 14 48 50 132 134 168 170 180 182	-414346867290
STPT(10)	2664057022624440587	0 2 42 44 72 74 102 104 144 146	-245348120442
SPT(16)	2664057275223730381	0 28 118 132 168 190 232 246 322 336 378 400 436 450 540 568	7251169352
STPT(10)	2664057292300748759	0 2 18 20 30 32 42 44 60 62	24328187730
SPT(16)	2664057296185251829	0 4 18 48 70 114 118 120 142 144 148 192 214 244 258 262	28212690800
SPT(16)	2664057383434355123	0 8 20 26 36 68 140 146 210 216 288 320 330 336 348 356	115461794094
STPT(10)	2664057472882853231	0 2 30 32 60 62 90 92 120 122	204910292202