Prime p₀= 732847134346482557 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 136 2 28 2 40 2 88 2 16 2 (?)
a_n: 0 2 42 44 180 182 210 212 252 254 342 344 360 362
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: 362
Found by: Theadalus
db: batch=73, k=14, 40 136 28 40 88 16

SPT(16)	732846267527634527	0 2 14 24 54 60 72 80 144 152 164 170 200 210 222 224	-866818848030
SPT(16)	732846522843042541	0 36 76 82 138 168 180 202 336 358 370 400 456 462 502 538	-611503440016
SPT(16)	732846683449553689	0 48 58 60 84 100 130 150 262 282 312 328 352 354 364 412	-450896928868
STPT(10)	732846846585025691	0 2 78 80 138 140 198 200 276 278	-287761456866
STPT(10)	732846986039559437	0 2 54 56 72 74 90 92 144 146	-148306923120
SPT(16)	732847006324544569	0 22 58 64 82 84 90 108 124 142 148 150 168 174 210 232	-128021937988
STPT(10)	732847216984518707	0 2 30 32 42 44 54 56 84 86	82638036150
STPT(10)	732847324746518549	0 2 78 80 120 122 162 164 240 242	190400035992
SPT(16)	732847660550011733	0 20 30 74 80 96 104 126 128 150 158 174 180 224 234 254	526203529176
STPT(10)	732848386357771391	0 2 36 38 78 80 120 122 156 158	1252011288834
STPT(10)	732849097941193157	0 2 12 14 42 44 72 74 84 86	1963594710600