Prime p₀= 2219462418376803959 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 52 2 34 2 58 2 28 2 22 2 (?)
a_n: 0 2 78 80 132 134 168 170 228 230 258 260 282 284
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: 284
Found by: eclipse99
db: batch=81, k=14, 76 52 34 58 28 22

STPT(10)	2219461159896587207	0 2 42 44 72 74 102 104 144 146	-1258480216752
SPT(16)	2219461413712764379	0 48 58 114 162 190 202 204 208 210 222 250 298 354 364 412	-1004664039580
SPT(16)	2219461625542987921	0 28 42 58 60 88 120 138 442 460 492 520 522 538 552 580	-792833816038
STPT(10)	2219461760125223459	0 2 18 20 30 32 42 44 60 62	-658251580500
STPT(10)	2219462001246379817	0 2 42 44 72 74 102 104 144 146	-417130424142
STPT(10)	2219462045613667427	0 2 60 62 72 74 84 86 144 146	-372763136532
SPT(16)	2219462616997798489	0 30 48 58 64 70 114 120 142 148 192 198 204 214 232 262	198620994530
STPT(10)	2219462672882694257	0 2 12 14 72 74 132 134 144 146	254505890298
STPT(10)	2219462900598789887	0 2 30 32 42 44 54 56 84 86	482221985928
STPT(10)	2219462945630267807	0 2 30 32 42 44 54 56 84 86	527253463848
SPT(16)	2219463474121381303	0 48 70 76 124 126 148 154 180 186 208 210 258 264 286 334	1055744577344