Prime p₀= 2309226814288354991 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 10 2 70 2 28 2 34 2 82 2 (?)
a_n: 0 2 6 8 18 20 90 92 120 122 156 158 240 242
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: MarkRBright
db: batch=81, k=14, 4 10 70 28 34 82

SPT(16)	2309225465158178653	0 36 88 94 106 126 150 160 204 214 238 258 270 276 328 364	-1349130176338
SPT(16)	2309225522588671007	0 2 26 62 66 74 102 114 182 194 222 230 234 270 294 296	-1291699683984
TPT(14)	2309226316818216161	0 2 60 62 120 122 156 158 168 170 210 212 288 290	-497470138830
SPT(16)	2309226377290856291	0 6 20 38 98 108 132 146 192 206 230 240 300 318 332 338	-436997498700
SPT(16)	2309226495582564949	0 30 34 84 94 118 124 130 138 144 150 174 184 234 238 268	-318705790042
SPT(16)	2309226587735270761	0 10 12 18 28 52 78 138 160 220 246 270 280 286 288 298	-226553084230
SPT(16)	2309227037765825473	0 4 6 10 60 76 108 114 130 136 168 184 234 238 240 244	223477470482
STPT(10)	2309227128772882907	0 2 30 32 42 44 54 56 84 86	314484527916
SPT(16)	2309227671720486749	0 12 42 72 78 108 150 152 168 170 212 242 248 278 308 320	857432131758
STPT(10)	2309227680963550619	0 2 18 20 30 32 42 44 60 62	866675195628
SPT(16)	2309227720189015601	0 2 26 42 140 182 206 240 248 282 306 348 446 462 486 488	905900660610