Prime p₀= 884664401911102661 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 16 2 118 2 10 2 46 2 10 2 (?)
a_n: 0 2 60 62 78 80 198 200 210 212 258 260 270 272
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: 272
Found by: declis
db: batch=73, k=14, 58 16 118 10 46 10

SPT(16)	884663830095154663	0 24 64 100 114 126 136 144 190 198 208 220 234 270 310 334	-571815947998
SPT(16)	884663870136448153	0 10 76 78 118 120 126 154 240 268 274 276 316 318 384 394	-531774654508
STPT(10)	884664040626879389	0 2 30 32 60 62 90 92 120 122	-361284223272
STPT(10)	884664089739070601	0 2 36 38 78 80 120 122 156 158	-312172032060
STPT(10)	884664252700393337	0 2 12 14 72 74 132 134 144 146	-149210709324
SPT(16)	884664394515042553	0 34 54 90 114 136 150 156 178 184 198 220 244 280 300 334	-7396060108
STPT(12)	884664636616530947	0 2 60 62 90 92 114 116 144 146 204 206	234705428286
STPT(10)	884665003030517237	0 2 12 14 42 44 72 74 84 86	601119414576
SPT(16)	884665329830218121	0 12 38 66 108 126 146 236 252 342 362 380 422 450 476 488	927919115460
STPT(10)	884665449784983407	0 2 30 32 72 74 114 116 144 146	1047873880746
SPT(16)	884665773601245907	0 10 22 40 52 84 94 102 112 120 130 162 174 192 204 214	1371690143246