Prime p₀= 1021112936313351221 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 46 2 28 2 46 2 88 2 118 2 (?)
a_n: 0 2 90 92 138 140 168 170 216 218 306 308 426 428
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: 428
Found by: [SETI.USA]Tank_Master
db: batch=76, k=14, 88 46 28 46 88 118

STPT(10)	1021112141819107307	0 2 54 56 72 74 90 92 144 146	-794494243914
SPT(16)	1021112189245344653	0 8 14 48 66 74 78 80 84 86 90 98 116 150 156 164	-747068006568
STPT(10)	1021112262325561499	0 2 42 44 60 62 78 80 120 122	-673987789722
STPT(10)	1021112315191650359	0 2 18 20 30 32 42 44 60 62	-621121700862
STPT(10)	1021112490682255859	0 2 18 20 30 32 42 44 60 62	-445631095362
SPT(16)	1021112646255354197	0 12 20 56 80 90 122 146 150 174 206 216 240 276 284 296	-290057997024
STPT(12)	1021112936313351221	0 2 90 92 138 140 168 170 216 218 306 308	0
SPT(16)	1021113132908073683	0 20 48 66 84 86 98 114 140 156 168 170 188 206 234 254	196594722462
SPT(16)	1021113192291037421	0 6 8 38 42 90 102 116 132 146 158 206 210 240 242 248	255977686200
STPT(10)	1021113501291455459	0 2 18 20 30 32 42 44 60 62	564978104238
SPT(16)	1021113552959289161	0 8 32 42 66 78 86 128 240 282 290 302 326 336 360 368	616645937940