Prime p₀= 974640986175726827 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: Spectrum
db: batch=76, k=10, 2 40 2 28 2

SPT(16)	974639026055038979	0 18 38 50 98 108 140 150 152 162 194 204 252 264 284 302	-1960120687848
SPT(16)	974639137153168211	0 18 50 110 138 140 170 176 180 186 216 218 246 306 338 356	-1849022558616
SPT(16)	974639433608303797	0 10 52 54 90 96 112 154 192 234 250 256 292 294 336 346	-1552567423030
SPT(16)	974640038808847483	0 4 10 30 48 108 130 150 154 174 196 256 274 294 300 304	-947366879344
STPT(10)	974640469845541487	0 2 72 74 102 104 132 134 204 206	-516330185340
SPT(16)	974640532501385363	0 20 38 48 54 78 80 104 180 204 206 230 236 246 264 284	-453674341464
TPT(14)	974641107479329229	0 2 30 32 102 104 120 122 132 134 168 170 210 212	121303602402
STPT(10)	974641226318259737	0 2 30 32 42 44 54 56 84 86	240142532910
SPT(16)	974641295100073247	0 12 14 26 86 132 180 192 194 206 254 300 360 372 374 386	308924346420
STPT(10)	974641477978693697	0 2 12 14 42 44 72 74 84 86	491802966870
STPT(10)	974641517133093779	0 2 12 14 30 32 48 50 60 62	530957366952