Prime p₀= 4303198383208628327 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 146
Found by: Chooka
db: batch=85, k=10, 2 28 2 40 2

STPT(10)	4303197433546717091	0 2 126 128 138 140 150 152 276 278	-949661911236
SPT(16)	4303197477986066347	0 34 102 112 120 160 216 232 294 310 366 406 414 424 492 526	-905222561980
STPT(10)	4303197581836310231	0 2 6 8 48 50 90 92 96 98	-801372318096
STPT(10)	4303197671375683151	0 2 36 38 78 80 120 122 156 158	-711832945176
SPT(16)	4303197744810246941	0 86 92 128 140 152 156 198 260 302 306 318 330 366 372 458	-638398381386
SPT(16)	4303198150940329183	0 6 78 88 114 144 160 214 240 294 310 340 366 376 448 454	-232268299144
SPT(16)	4303199009126075131	0 12 58 82 90 126 142 208 210 276 292 328 336 360 406 418	625917446804
STPT(10)	4303199230543740851	0 2 36 38 78 80 120 122 156 158	847335112524
STPT(10)	4303199281276033709	0 2 18 20 30 32 42 44 60 62	898067405382
TPT(14)	4303199583543109517	0 2 30 32 72 74 90 92 132 134 144 146 162 164	1200334481190
SPT(16)	4303199686091991029	0 2 30 48 72 108 182 234 308 360 434 470 494 512 540 542	1302883362702