Prime p₀= 2774541050273978561 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: [SG-FC] hl
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2774539496857849247	0 24 62 72 74 92 104 150 224 270 282 300 302 312 350 374	-1553416129314
STPT(10)	2774539543556351927	0 2 30 32 72 74 114 116 144 146	-1506717626634
TPT(14)	2774539876175106617	0 2 12 14 90 92 144 146 180 182 210 212 240 242	-1174098871944
STPT(10)	2774539911948951071	0 2 30 32 78 80 126 128 156 158	-1138325027490
TPT(14)	2774540390114586011	0 2 6 8 18 20 78 80 90 92 240 242 246 248	-660159392550
SPT(16)	2774540555479107629	0 8 14 74 78 92 104 120 152 168 180 194 198 258 264 272	-494794870932
STPT(10)	2774541118558340567	0 2 42 44 72 74 102 104 144 146	68284362006
STPT(10)	2774541290615066657	0 2 24 26 42 44 60 62 84 86	240341088096
SPT(16)	2774541333454432141	0 18 22 70 108 112 120 150 400 430 438 442 480 528 532 550	283180453580
SPT(16)	2774541676958260801	0 12 22 36 72 88 102 120 148 166 180 196 232 246 256 268	626684282240
TPT(14)	2774541973167876449	0 2 18 20 30 32 150 152 168 170 282 284 312 314	922893897888