Prime p₀= 2121289063570507007 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 22 2 28 2 58 2 34 2 40 2 (?)
a_n: 0 2 90 92 114 116 144 146 204 206 240 242 282 284
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: Landjunge
db: batch=80, k=14, 88 22 28 58 34 40

STPT(10)	2121286998347719751	0 2 6 8 48 50 90 92 96 98	-2065222787256
STPT(10)	2121287574119199041	0 2 6 8 48 50 90 92 96 98	-1489451307966
STPT(10)	2121287618733895991	0 2 36 38 78 80 120 122 156 158	-1444836611016
SPT(16)	2121288025528949257	0 4 12 24 52 54 66 82 84 100 112 114 142 154 162 166	-1038041557750
SPT(16)	2121288534746004079	0 22 54 58 120 162 208 234 238 264 310 352 414 418 450 472	-528824502928
SPT(16)	2121288791164476091	0 30 36 48 72 120 130 138 190 198 208 256 280 292 298 328	-272406030916
STPT(10)	2121289242655616777	0 2 42 44 72 74 102 104 144 146	179085109770
TPT(14)	2121289632460816217	0 2 72 74 114 116 204 206 252 254 402 404 420 422	568890309210
STPT(10)	2121289657604649911	0 2 36 38 78 80 120 122 156 158	594034142904
STPT(10)	2121289758649062941	0 2 30 32 60 62 90 92 120 122	695078555934
STPT(10)	2121289924553090111	0 2 6 8 18 20 30 32 36 38	860982583104