Prime p₀= 1001333880568498031 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 10 2 76 2 46 2 22 2 (?)
a_n: 0 2 36 38 78 80 90 92 168 170 216 218 240 242
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, 34 40 10 76 46 22

STPT(10)	1001333194537562837	0 2 30 32 42 44 54 56 84 86	-686030935194
TPT(14)	1001333202228219431	0 2 6 8 30 32 96 98 198 200 240 242 270 272	-678340278600
SPT(16)	1001333399705819249	0 12 24 32 38 42 80 84 128 132 170 174 180 188 200 212	-480862678782
SPT(16)	1001333744545265699	0 12 54 68 78 140 164 168 194 198 222 284 294 308 350 362	-136023232332
SPT(16)	1001333755414100417	0 60 102 126 144 176 182 192 194 204 210 242 260 284 326 386	-125154397614
SPT(16)	1001333805959766007	0 4 24 66 70 124 156 186 274 304 336 390 394 436 456 460	-74608732024
SPT(16)	1001333997442444051	0 12 18 52 58 60 70 228 232 390 400 402 408 442 448 460	116873946020
SPT(16)	1001334075703881571	0 16 22 36 100 106 130 142 156 168 192 198 262 276 282 298	195135383540
STPT(10)	1001334123406502057	0 2 12 14 42 44 72 74 84 86	242838004026
SPT(16)	1001334223681801907	0 14 30 42 132 156 230 240 326 336 410 434 524 536 552 566	343113303876
SPT(16)	1001334439957623389	0 18 24 44 48 60 104 114 158 168 212 224 228 248 254 272	559389125358