Prime p₀= 2523201442615448009 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 82 2 28 2 64 2 10 2 (?)
a_n: 0 2 42 44 48 50 132 134 162 164 228 230 240 242
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: JayPi
db: batch=82, k=14, 40 4 82 28 64 10

SPT(16)	2523199958036979701	0 2 8 42 50 60 62 98 162 198 200 210 218 252 258 260	-1484578468308
STPT(10)	2523200120436280487	0 2 42 44 72 74 102 104 144 146	-1322179167522
SPT(16)	2523200265970813861	0 18 42 60 82 102 126 130 168 172 196 216 238 256 280 298	-1176644634148
SPT(16)	2523200314959307793	0 8 50 54 56 110 120 186 218 284 294 348 350 354 396 404	-1127656140216
STPT(10)	2523200849589277997	0 2 42 44 72 74 102 104 144 146	-593026170012
STPT(10)	2523201420140047259	0 2 18 20 30 32 42 44 60 62	-22475400750
SPT(16)	2523201460271131823	0 56 96 126 128 144 186 200 204 218 260 276 278 308 348 404	17655683814
TPT(14)	2523201686275084667	0 2 144 146 180 182 210 212 222 224 294 296 312 314	243659636658
STPT(10)	2523202653768235259	0 2 42 44 60 62 78 80 120 122	1211152787250
STPT(10)	2523202903104278009	0 2 18 20 30 32 42 44 60 62	1460488830000
SPT(16)	2523203333286426359	0 8 48 60 72 104 140 158 174 192 228 260 272 284 324 332	1890670978350