Prime p₀= 2325127520268101567 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: Orange Kid
db: batch=81, k=10, 2 40 2 28 2

STPT(10)	2325126792228455231	0 2 30 32 78 80 126 128 156 158	-728039646336
STPT(10)	2325126876999711077	0 2 42 44 72 74 102 104 144 146	-643268390490
TPT(14)	2325126912748333691	0 2 30 32 96 98 126 128 216 218 240 242 258 260	-607519767876
SPT(16)	2325126993277152209	0 38 54 68 84 90 98 140 192 234 242 248 264 278 294 332	-526990949358
SPT(16)	2325127213217276641	0 10 46 52 60 66 130 162 196 228 292 298 306 312 348 358	-307050824926
TPT(14)	2325127401055542911	0 2 36 38 48 50 78 80 258 260 300 302 540 542	-119212558656
STPT(10)	2325127846458455177	0 2 12 14 42 44 72 74 84 86	326190353610
STPT(10)	2325128058815066507	0 2 30 32 72 74 114 116 144 146	538546964940
STPT(10)	2325128156764606481	0 2 36 38 78 80 120 122 156 158	636496504914
STPT(10)	2325128512731666767	0 2 30 32 72 74 114 116 144 146	992463565200
STPT(10)	2325128798079357269	0 2 18 20 30 32 42 44 60 62	1277811255702