Prime p₀= 944315703835735331 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 28 2 28 2 10 2 124 2 22 2 (?)
a_n: 0 2 18 20 48 50 78 80 90 92 216 218 240 242
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: 242
Found by: stoneageman
db: batch=76, k=14, 16 28 28 10 124 22

SPT(16)	944313828508939711	0 6 16 30 40 70 72 82 120 130 132 162 172 186 196 202	-1875326795620
STPT(10)	944314030068388877	0 2 42 44 72 74 102 104 144 146	-1673767346454
TPT(14)	944314659868760237	0 2 54 56 72 74 180 182 192 194 204 206 210 212	-1043966975094
STPT(12)	944314876844560547	0 2 30 32 42 44 132 134 144 146 174 176	-826991174784
TPT(14)	944315523402396137	0 2 12 14 102 104 210 212 252 254 264 266 312 314	-180433339194
STPT(10)	944315554515898247	0 2 12 14 72 74 132 134 144 146	-149319837084
SPT(16)	944315805530406241	0 6 18 22 72 106 132 160 228 256 282 316 366 370 382 388	101694670910
STPT(10)	944315956345819877	0 2 30 32 42 44 54 56 84 86	252510084546
STPT(10)	944315967841251347	0 2 24 26 42 44 60 62 84 86	264005516016
SPT(16)	944316119341761119	0 42 50 72 108 140 162 188 192 218 240 272 308 330 338 380	415506025788
SPT(16)	944316280700910823	0 18 24 28 30 34 40 46 138 144 150 154 156 160 166 184	576865175492